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Finding the Fourth Proportional to 9,293.58, 13,930.92 and 5,138.28

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Solution

The fourth proportional to 9,293.58, 13,930.92 and 5,138.28 is: 7,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.58 : 13,930.92 = 5,138.28 : x
  2. Step 2: Convert to fraction form
    9,293.58/13,930.92 = 5,138.28/x
  3. Step 3: Cross multiply
    9,293.58x = 13,930.92 × 5,138.28
  4. Step 4: Simplify right side
    9,293.58x = 71,580,967.62
  5. Step 5: Solve for x
    x = 71,580,967.62/9,293.58
  6. Step 6: Final answer
    x = 7,702.20

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1.5x scale

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.