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Finding the Fourth Proportional to 9,354.75, 12,909.74 and 5,162.91

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Solution

The fourth proportional to 9,354.75, 12,909.74 and 5,162.91 is: 7,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.75 : 12,909.74 = 5,162.91 : x
  2. Step 2: Convert to fraction form
    9,354.75/12,909.74 = 5,162.91/x
  3. Step 3: Cross multiply
    9,354.75x = 12,909.74 × 5,162.91
  4. Step 4: Simplify right side
    9,354.75x = 66,651,799.93
  5. Step 5: Solve for x
    x = 66,651,799.93/9,354.75
  6. Step 6: Final answer
    x = 7,124.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.