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Finding the Fourth Proportional to 2,165.28, 2,987.28 and 1,420.08

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Solution

The fourth proportional to 2,165.28, 2,987.28 and 1,420.08 is: 1,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.28 : 2,987.28 = 1,420.08 : x
  2. Step 2: Convert to fraction form
    2,165.28/2,987.28 = 1,420.08/x
  3. Step 3: Cross multiply
    2,165.28x = 2,987.28 × 1,420.08
  4. Step 4: Simplify right side
    2,165.28x = 4,242,176.58
  5. Step 5: Solve for x
    x = 4,242,176.58/2,165.28
  6. Step 6: Final answer
    x = 1,959.18

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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.