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Finding the Fourth Proportional to 15,972.30, 22,041.72 and 9,259.29

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Solution

The fourth proportional to 15,972.30, 22,041.72 and 9,259.29 is: 12,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972.30 : 22,041.72 = 9,259.29 : x
  2. Step 2: Convert to fraction form
    15,972.30/22,041.72 = 9,259.29/x
  3. Step 3: Cross multiply
    15,972.30x = 22,041.72 × 9,259.29
  4. Step 4: Simplify right side
    15,972.30x = 204,090,677.58
  5. Step 5: Solve for x
    x = 204,090,677.58/15,972.30
  6. Step 6: Final answer
    x = 12,777.79

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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.