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Finding the Fourth Proportional to 14,073.86, 21,103 and 5,759.72

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Solution

The fourth proportional to 14,073.86, 21,103 and 5,759.72 is: 8,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.86 : 21,103 = 5,759.72 : x
  2. Step 2: Convert to fraction form
    14,073.86/21,103 = 5,759.72/x
  3. Step 3: Cross multiply
    14,073.86x = 21,103 × 5,759.72
  4. Step 4: Simplify right side
    14,073.86x = 121,547,371.16
  5. Step 5: Solve for x
    x = 121,547,371.16/14,073.86
  6. Step 6: Final answer
    x = 8,636.39

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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.