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Finding the Fourth Proportional to 10,586.24, 15,876.11 and 7,320.32

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Solution

The fourth proportional to 10,586.24, 15,876.11 and 7,320.32 is: 10,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.24 : 15,876.11 = 7,320.32 : x
  2. Step 2: Convert to fraction form
    10,586.24/15,876.11 = 7,320.32/x
  3. Step 3: Cross multiply
    10,586.24x = 15,876.11 × 7,320.32
  4. Step 4: Simplify right side
    10,586.24x = 116,218,204.01
  5. Step 5: Solve for x
    x = 116,218,204.01/10,586.24
  6. Step 6: Final answer
    x = 10,978.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.