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Finding the Fourth Proportional to 8,542.59, 12,799.31 and 4,640.01

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Solution

The fourth proportional to 8,542.59, 12,799.31 and 4,640.01 is: 6,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.59 : 12,799.31 = 4,640.01 : x
  2. Step 2: Convert to fraction form
    8,542.59/12,799.31 = 4,640.01/x
  3. Step 3: Cross multiply
    8,542.59x = 12,799.31 × 4,640.01
  4. Step 4: Simplify right side
    8,542.59x = 59,388,903.19
  5. Step 5: Solve for x
    x = 59,388,903.19/8,542.59
  6. Step 6: Final answer
    x = 6,952.10

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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.