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Finding the Fourth Proportional to 8,402.70, 12,590.16 and 5,105.79

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Solution

The fourth proportional to 8,402.70, 12,590.16 and 5,105.79 is: 7,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.70 : 12,590.16 = 5,105.79 : x
  2. Step 2: Convert to fraction form
    8,402.70/12,590.16 = 5,105.79/x
  3. Step 3: Cross multiply
    8,402.70x = 12,590.16 × 5,105.79
  4. Step 4: Simplify right side
    8,402.70x = 64,282,713.03
  5. Step 5: Solve for x
    x = 64,282,713.03/8,402.70
  6. Step 6: Final answer
    x = 7,650.24

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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.