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Finding the Fourth Proportional to 11,473, 15,833.70 and 6,505.96

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Solution

The fourth proportional to 11,473, 15,833.70 and 6,505.96 is: 8,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473 : 15,833.70 = 6,505.96 : x
  2. Step 2: Convert to fraction form
    11,473/15,833.70 = 6,505.96/x
  3. Step 3: Cross multiply
    11,473x = 15,833.70 × 6,505.96
  4. Step 4: Simplify right side
    11,473x = 103,013,418.85
  5. Step 5: Solve for x
    x = 103,013,418.85/11,473
  6. Step 6: Final answer
    x = 8,978.77

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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.