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Finding the Fourth Proportional to 11,586.96, 15,978 and 9,913.90

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Solution

The fourth proportional to 11,586.96, 15,978 and 9,913.90 is: 13,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.96 : 15,978 = 9,913.90 : x
  2. Step 2: Convert to fraction form
    11,586.96/15,978 = 9,913.90/x
  3. Step 3: Cross multiply
    11,586.96x = 15,978 × 9,913.90
  4. Step 4: Simplify right side
    11,586.96x = 158,404,294.20
  5. Step 5: Solve for x
    x = 158,404,294.20/11,586.96
  6. Step 6: Final answer
    x = 13,670.91

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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.