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Finding the Fourth Proportional to 10,655.70, 15,978.69 and 5,111.66

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Solution

The fourth proportional to 10,655.70, 15,978.69 and 5,111.66 is: 7,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.70 : 15,978.69 = 5,111.66 : x
  2. Step 2: Convert to fraction form
    10,655.70/15,978.69 = 5,111.66/x
  3. Step 3: Cross multiply
    10,655.70x = 15,978.69 × 5,111.66
  4. Step 4: Simplify right side
    10,655.70x = 81,677,594.97
  5. Step 5: Solve for x
    x = 81,677,594.97/10,655.70
  6. Step 6: Final answer
    x = 7,665.15

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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.