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Finding the Fourth Proportional to 11,730, 16,187.20 and 6,424.81

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Solution

The fourth proportional to 11,730, 16,187.20 and 6,424.81 is: 8,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730 : 16,187.20 = 6,424.81 : x
  2. Step 2: Convert to fraction form
    11,730/16,187.20 = 6,424.81/x
  3. Step 3: Cross multiply
    11,730x = 16,187.20 × 6,424.81
  4. Step 4: Simplify right side
    11,730x = 103,999,684.43
  5. Step 5: Solve for x
    x = 103,999,684.43/11,730
  6. Step 6: Final answer
    x = 8,866.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.