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Finding the Fourth Proportional to 7,531.86, 10,393.70 and 4,174.98

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Solution

The fourth proportional to 7,531.86, 10,393.70 and 4,174.98 is: 5,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.86 : 10,393.70 = 4,174.98 : x
  2. Step 2: Convert to fraction form
    7,531.86/10,393.70 = 4,174.98/x
  3. Step 3: Cross multiply
    7,531.86x = 10,393.70 × 4,174.98
  4. Step 4: Simplify right side
    7,531.86x = 43,393,468.75
  5. Step 5: Solve for x
    x = 43,393,468.75/7,531.86
  6. Step 6: Final answer
    x = 5,761.32

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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.