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Finding the Fourth Proportional to 22,776.92, 31,432.20 and 12,705.11

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Solution

The fourth proportional to 22,776.92, 31,432.20 and 12,705.11 is: 17,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.92 : 31,432.20 = 12,705.11 : x
  2. Step 2: Convert to fraction form
    22,776.92/31,432.20 = 12,705.11/x
  3. Step 3: Cross multiply
    22,776.92x = 31,432.20 × 12,705.11
  4. Step 4: Simplify right side
    22,776.92x = 399,349,454.67
  5. Step 5: Solve for x
    x = 399,349,454.67/22,776.92
  6. Step 6: Final answer
    x = 17,533.07

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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.