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Finding the Fourth Proportional to 8,686.68, 13,020.24 and 4,307.28

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Solution

The fourth proportional to 8,686.68, 13,020.24 and 4,307.28 is: 6,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.68 : 13,020.24 = 4,307.28 : x
  2. Step 2: Convert to fraction form
    8,686.68/13,020.24 = 4,307.28/x
  3. Step 3: Cross multiply
    8,686.68x = 13,020.24 × 4,307.28
  4. Step 4: Simplify right side
    8,686.68x = 56,081,819.35
  5. Step 5: Solve for x
    x = 56,081,819.35/8,686.68
  6. Step 6: Final answer
    x = 6,456.07

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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.