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Finding the Fourth Proportional to 2,577.81, 3,867.27 and 934.20

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Solution

The fourth proportional to 2,577.81, 3,867.27 and 934.20 is: 1,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.81 : 3,867.27 = 934.20 : x
  2. Step 2: Convert to fraction form
    2,577.81/3,867.27 = 934.20/x
  3. Step 3: Cross multiply
    2,577.81x = 3,867.27 × 934.20
  4. Step 4: Simplify right side
    2,577.81x = 3,612,803.63
  5. Step 5: Solve for x
    x = 3,612,803.63/2,577.81
  6. Step 6: Final answer
    x = 1,401.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.