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Finding the Fourth Proportional to 31,243.32, 46,864.98 and 13,713.30

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Solution

The fourth proportional to 31,243.32, 46,864.98 and 13,713.30 is: 20,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243.32 : 46,864.98 = 13,713.30 : x
  2. Step 2: Convert to fraction form
    31,243.32/46,864.98 = 13,713.30/x
  3. Step 3: Cross multiply
    31,243.32x = 46,864.98 × 13,713.30
  4. Step 4: Simplify right side
    31,243.32x = 642,673,530.23
  5. Step 5: Solve for x
    x = 642,673,530.23/31,243.32
  6. Step 6: Final answer
    x = 20,569.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.