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Finding the Fourth Proportional to 10,730, 16,097.63 and 8,668.68

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Solution

The fourth proportional to 10,730, 16,097.63 and 8,668.68 is: 13,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730 : 16,097.63 = 8,668.68 : x
  2. Step 2: Convert to fraction form
    10,730/16,097.63 = 8,668.68/x
  3. Step 3: Cross multiply
    10,730x = 16,097.63 × 8,668.68
  4. Step 4: Simplify right side
    10,730x = 139,545,203.23
  5. Step 5: Solve for x
    x = 139,545,203.23/10,730
  6. Step 6: Final answer
    x = 13,005.14

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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.