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Finding the Fourth Proportional to 8,402.16, 12,557.89 and 7,339.64

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Solution

The fourth proportional to 8,402.16, 12,557.89 and 7,339.64 is: 10,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.16 : 12,557.89 = 7,339.64 : x
  2. Step 2: Convert to fraction form
    8,402.16/12,557.89 = 7,339.64/x
  3. Step 3: Cross multiply
    8,402.16x = 12,557.89 × 7,339.64
  4. Step 4: Simplify right side
    8,402.16x = 92,170,310.62
  5. Step 5: Solve for x
    x = 92,170,310.62/8,402.16
  6. Step 6: Final answer
    x = 10,969.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.