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Finding the Fourth Proportional to 14,470.78, 21,705.02 and 5,705.76

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Solution

The fourth proportional to 14,470.78, 21,705.02 and 5,705.76 is: 8,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.78 : 21,705.02 = 5,705.76 : x
  2. Step 2: Convert to fraction form
    14,470.78/21,705.02 = 5,705.76/x
  3. Step 3: Cross multiply
    14,470.78x = 21,705.02 × 5,705.76
  4. Step 4: Simplify right side
    14,470.78x = 123,843,634.92
  5. Step 5: Solve for x
    x = 123,843,634.92/14,470.78
  6. Step 6: Final answer
    x = 8,558.19

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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.