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Finding the Fourth Proportional to 9,156.32, 13,708.32 and 8,575.08

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Solution

The fourth proportional to 9,156.32, 13,708.32 and 8,575.08 is: 12,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.32 : 13,708.32 = 8,575.08 : x
  2. Step 2: Convert to fraction form
    9,156.32/13,708.32 = 8,575.08/x
  3. Step 3: Cross multiply
    9,156.32x = 13,708.32 × 8,575.08
  4. Step 4: Simplify right side
    9,156.32x = 117,549,940.67
  5. Step 5: Solve for x
    x = 117,549,940.67/9,156.32
  6. Step 6: Final answer
    x = 12,838.12

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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.