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Finding the Fourth Proportional to 14,305.52, 21,457.52 and 3,917.20

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Solution

The fourth proportional to 14,305.52, 21,457.52 and 3,917.20 is: 5,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.52 : 21,457.52 = 3,917.20 : x
  2. Step 2: Convert to fraction form
    14,305.52/21,457.52 = 3,917.20/x
  3. Step 3: Cross multiply
    14,305.52x = 21,457.52 × 3,917.20
  4. Step 4: Simplify right side
    14,305.52x = 84,053,397.34
  5. Step 5: Solve for x
    x = 84,053,397.34/14,305.52
  6. Step 6: Final answer
    x = 5,875.59

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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.