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Finding the Fourth Proportional to 15,892.40, 23,822.40 and 9,315.20

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Solution

The fourth proportional to 15,892.40, 23,822.40 and 9,315.20 is: 13,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.40 : 23,822.40 = 9,315.20 : x
  2. Step 2: Convert to fraction form
    15,892.40/23,822.40 = 9,315.20/x
  3. Step 3: Cross multiply
    15,892.40x = 23,822.40 × 9,315.20
  4. Step 4: Simplify right side
    15,892.40x = 221,910,420.48
  5. Step 5: Solve for x
    x = 221,910,420.48/15,892.40
  6. Step 6: Final answer
    x = 13,963.30

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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.