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Finding the Fourth Proportional to 8,521.70, 12,714.10 and 7,586.15

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Solution

The fourth proportional to 8,521.70, 12,714.10 and 7,586.15 is: 11,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.70 : 12,714.10 = 7,586.15 : x
  2. Step 2: Convert to fraction form
    8,521.70/12,714.10 = 7,586.15/x
  3. Step 3: Cross multiply
    8,521.70x = 12,714.10 × 7,586.15
  4. Step 4: Simplify right side
    8,521.70x = 96,451,069.72
  5. Step 5: Solve for x
    x = 96,451,069.72/8,521.70
  6. Step 6: Final answer
    x = 11,318.29

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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.