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Finding the Fourth Proportional to 11,599.72, 17,368.68 and 7,909.20

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Solution

The fourth proportional to 11,599.72, 17,368.68 and 7,909.20 is: 11,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.72 : 17,368.68 = 7,909.20 : x
  2. Step 2: Convert to fraction form
    11,599.72/17,368.68 = 7,909.20/x
  3. Step 3: Cross multiply
    11,599.72x = 17,368.68 × 7,909.20
  4. Step 4: Simplify right side
    11,599.72x = 137,372,363.86
  5. Step 5: Solve for x
    x = 137,372,363.86/11,599.72
  6. Step 6: Final answer
    x = 11,842.73

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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.