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Finding the Fourth Proportional to 11,655.50, 16,084.64 and 6,939.95

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Solution

The fourth proportional to 11,655.50, 16,084.64 and 6,939.95 is: 9,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.50 : 16,084.64 = 6,939.95 : x
  2. Step 2: Convert to fraction form
    11,655.50/16,084.64 = 6,939.95/x
  3. Step 3: Cross multiply
    11,655.50x = 16,084.64 × 6,939.95
  4. Step 4: Simplify right side
    11,655.50x = 111,626,534.29
  5. Step 5: Solve for x
    x = 111,626,534.29/11,655.50
  6. Step 6: Final answer
    x = 9,577.16

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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.