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Finding the Fourth Proportional to 9,157.92, 13,788.47 and 8,352.42

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Solution

The fourth proportional to 9,157.92, 13,788.47 and 8,352.42 is: 12,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.92 : 13,788.47 = 8,352.42 : x
  2. Step 2: Convert to fraction form
    9,157.92/13,788.47 = 8,352.42/x
  3. Step 3: Cross multiply
    9,157.92x = 13,788.47 × 8,352.42
  4. Step 4: Simplify right side
    9,157.92x = 115,167,050.84
  5. Step 5: Solve for x
    x = 115,167,050.84/9,157.92
  6. Step 6: Final answer
    x = 12,575.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.