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Finding the Fourth Proportional to 9,162.30, 13,731.30 and 8,117.40

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Solution

The fourth proportional to 9,162.30, 13,731.30 and 8,117.40 is: 12,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.30 : 13,731.30 = 8,117.40 : x
  2. Step 2: Convert to fraction form
    9,162.30/13,731.30 = 8,117.40/x
  3. Step 3: Cross multiply
    9,162.30x = 13,731.30 × 8,117.40
  4. Step 4: Simplify right side
    9,162.30x = 111,462,454.62
  5. Step 5: Solve for x
    x = 111,462,454.62/9,162.30
  6. Step 6: Final answer
    x = 12,165.34

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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.