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Finding the Fourth Proportional to 12,442.53, 18,658.29 and 6,597.78

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Solution

The fourth proportional to 12,442.53, 18,658.29 and 6,597.78 is: 9,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.53 : 18,658.29 = 6,597.78 : x
  2. Step 2: Convert to fraction form
    12,442.53/18,658.29 = 6,597.78/x
  3. Step 3: Cross multiply
    12,442.53x = 18,658.29 × 6,597.78
  4. Step 4: Simplify right side
    12,442.53x = 123,103,292.60
  5. Step 5: Solve for x
    x = 123,103,292.60/12,442.53
  6. Step 6: Final answer
    x = 9,893.75

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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.