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Finding the Fourth Proportional to 9,239.60, 12,731.64 and 7,137.20

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Solution

The fourth proportional to 9,239.60, 12,731.64 and 7,137.20 is: 9,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.60 : 12,731.64 = 7,137.20 : x
  2. Step 2: Convert to fraction form
    9,239.60/12,731.64 = 7,137.20/x
  3. Step 3: Cross multiply
    9,239.60x = 12,731.64 × 7,137.20
  4. Step 4: Simplify right side
    9,239.60x = 90,868,261.01
  5. Step 5: Solve for x
    x = 90,868,261.01/9,239.60
  6. Step 6: Final answer
    x = 9,834.65

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1.5x scale

Why These Related Problems?

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