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Finding the Fourth Proportional to 11,618, 16,032.24 and 6,312.68

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Solution

The fourth proportional to 11,618, 16,032.24 and 6,312.68 is: 8,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618 : 16,032.24 = 6,312.68 : x
  2. Step 2: Convert to fraction form
    11,618/16,032.24 = 6,312.68/x
  3. Step 3: Cross multiply
    11,618x = 16,032.24 × 6,312.68
  4. Step 4: Simplify right side
    11,618x = 101,206,400.80
  5. Step 5: Solve for x
    x = 101,206,400.80/11,618
  6. Step 6: Final answer
    x = 8,711.17

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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.