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Finding the Fourth Proportional to 9,295.70, 13,930.88 and 5,129.50

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Solution

The fourth proportional to 9,295.70, 13,930.88 and 5,129.50 is: 7,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.70 : 13,930.88 = 5,129.50 : x
  2. Step 2: Convert to fraction form
    9,295.70/13,930.88 = 5,129.50/x
  3. Step 3: Cross multiply
    9,295.70x = 13,930.88 × 5,129.50
  4. Step 4: Simplify right side
    9,295.70x = 71,458,448.96
  5. Step 5: Solve for x
    x = 71,458,448.96/9,295.70
  6. Step 6: Final answer
    x = 7,687.26

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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.