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Finding the Fourth Proportional to 9,146.50, 13,702.22 and 5,437.50

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Solution

The fourth proportional to 9,146.50, 13,702.22 and 5,437.50 is: 8,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.50 : 13,702.22 = 5,437.50 : x
  2. Step 2: Convert to fraction form
    9,146.50/13,702.22 = 5,437.50/x
  3. Step 3: Cross multiply
    9,146.50x = 13,702.22 × 5,437.50
  4. Step 4: Simplify right side
    9,146.50x = 74,505,821.25
  5. Step 5: Solve for x
    x = 74,505,821.25/9,146.50
  6. Step 6: Final answer
    x = 8,145.83

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Why These Related Problems?

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