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Finding the Fourth Proportional to 8,397.70, 12,591 and 4,700.32

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Solution

The fourth proportional to 8,397.70, 12,591 and 4,700.32 is: 7,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.70 : 12,591 = 4,700.32 : x
  2. Step 2: Convert to fraction form
    8,397.70/12,591 = 4,700.32/x
  3. Step 3: Cross multiply
    8,397.70x = 12,591 × 4,700.32
  4. Step 4: Simplify right side
    8,397.70x = 59,181,729.12
  5. Step 5: Solve for x
    x = 59,181,729.12/8,397.70
  6. Step 6: Final answer
    x = 7,047.37

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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.