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Finding the Fourth Proportional to 9,787.52, 13,423.73 and 9,385.66

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Solution

The fourth proportional to 9,787.52, 13,423.73 and 9,385.66 is: 12,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.52 : 13,423.73 = 9,385.66 : x
  2. Step 2: Convert to fraction form
    9,787.52/13,423.73 = 9,385.66/x
  3. Step 3: Cross multiply
    9,787.52x = 13,423.73 × 9,385.66
  4. Step 4: Simplify right side
    9,787.52x = 125,990,498.59
  5. Step 5: Solve for x
    x = 125,990,498.59/9,787.52
  6. Step 6: Final answer
    x = 12,872.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.