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Finding the Fourth Proportional to 8,711.53, 12,023.67 and 5,174.06

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Solution

The fourth proportional to 8,711.53, 12,023.67 and 5,174.06 is: 7,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.53 : 12,023.67 = 5,174.06 : x
  2. Step 2: Convert to fraction form
    8,711.53/12,023.67 = 5,174.06/x
  3. Step 3: Cross multiply
    8,711.53x = 12,023.67 × 5,174.06
  4. Step 4: Simplify right side
    8,711.53x = 62,211,173.26
  5. Step 5: Solve for x
    x = 62,211,173.26/8,711.53
  6. Step 6: Final answer
    x = 7,141.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.