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Finding the Fourth Proportional to 7,787.64, 11,625.98 and 7,514.24

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Solution

The fourth proportional to 7,787.64, 11,625.98 and 7,514.24 is: 11,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.64 : 11,625.98 = 7,514.24 : x
  2. Step 2: Convert to fraction form
    7,787.64/11,625.98 = 7,514.24/x
  3. Step 3: Cross multiply
    7,787.64x = 11,625.98 × 7,514.24
  4. Step 4: Simplify right side
    7,787.64x = 87,360,403.96
  5. Step 5: Solve for x
    x = 87,360,403.96/7,787.64
  6. Step 6: Final answer
    x = 11,217.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.