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Finding the Fourth Proportional to 9,149.66, 13,702.61 and 8,690.40

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Solution

The fourth proportional to 9,149.66, 13,702.61 and 8,690.40 is: 13,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.66 : 13,702.61 = 8,690.40 : x
  2. Step 2: Convert to fraction form
    9,149.66/13,702.61 = 8,690.40/x
  3. Step 3: Cross multiply
    9,149.66x = 13,702.61 × 8,690.40
  4. Step 4: Simplify right side
    9,149.66x = 119,081,161.94
  5. Step 5: Solve for x
    x = 119,081,161.94/9,149.66
  6. Step 6: Final answer
    x = 13,014.82

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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.