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Finding the Fourth Proportional to 43,597, 65,396.11 and 12,432.25

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Solution

The fourth proportional to 43,597, 65,396.11 and 12,432.25 is: 18,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,597 : 65,396.11 = 12,432.25 : x
  2. Step 2: Convert to fraction form
    43,597/65,396.11 = 12,432.25/x
  3. Step 3: Cross multiply
    43,597x = 65,396.11 × 12,432.25
  4. Step 4: Simplify right side
    43,597x = 813,020,788.55
  5. Step 5: Solve for x
    x = 813,020,788.55/43,597
  6. Step 6: Final answer
    x = 18,648.55

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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.