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Finding the Fourth Proportional to 21,689.24, 29,931.20 and 11,753.24

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Solution

The fourth proportional to 21,689.24, 29,931.20 and 11,753.24 is: 16,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.24 : 29,931.20 = 11,753.24 : x
  2. Step 2: Convert to fraction form
    21,689.24/29,931.20 = 11,753.24/x
  3. Step 3: Cross multiply
    21,689.24x = 29,931.20 × 11,753.24
  4. Step 4: Simplify right side
    21,689.24x = 351,788,577.09
  5. Step 5: Solve for x
    x = 351,788,577.09/21,689.24
  6. Step 6: Final answer
    x = 16,219.50

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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.