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Finding the Fourth Proportional to 22,718.30, 31,352.16 and 13,760.76

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Solution

The fourth proportional to 22,718.30, 31,352.16 and 13,760.76 is: 18,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718.30 : 31,352.16 = 13,760.76 : x
  2. Step 2: Convert to fraction form
    22,718.30/31,352.16 = 13,760.76/x
  3. Step 3: Cross multiply
    22,718.30x = 31,352.16 × 13,760.76
  4. Step 4: Simplify right side
    22,718.30x = 431,429,549.24
  5. Step 5: Solve for x
    x = 431,429,549.24/22,718.30
  6. Step 6: Final answer
    x = 18,990.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.