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Finding the Fourth Proportional to 9,374.20, 14,061.30 and 8,661.40

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Solution

The fourth proportional to 9,374.20, 14,061.30 and 8,661.40 is: 12,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.20 : 14,061.30 = 8,661.40 : x
  2. Step 2: Convert to fraction form
    9,374.20/14,061.30 = 8,661.40/x
  3. Step 3: Cross multiply
    9,374.20x = 14,061.30 × 8,661.40
  4. Step 4: Simplify right side
    9,374.20x = 121,790,543.82
  5. Step 5: Solve for x
    x = 121,790,543.82/9,374.20
  6. Step 6: Final answer
    x = 12,992.10

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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.