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Finding the Fourth Proportional to 2,734.40, 3,772.16 and 1,987.20

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Solution

The fourth proportional to 2,734.40, 3,772.16 and 1,987.20 is: 2,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.40 : 3,772.16 = 1,987.20 : x
  2. Step 2: Convert to fraction form
    2,734.40/3,772.16 = 1,987.20/x
  3. Step 3: Cross multiply
    2,734.40x = 3,772.16 × 1,987.20
  4. Step 4: Simplify right side
    2,734.40x = 7,496,036.35
  5. Step 5: Solve for x
    x = 7,496,036.35/2,734.40
  6. Step 6: Final answer
    x = 2,741.38

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.