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Finding the Fourth Proportional to 8,446.74, 12,663.65 and 5,114.26

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Solution

The fourth proportional to 8,446.74, 12,663.65 and 5,114.26 is: 7,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.74 : 12,663.65 = 5,114.26 : x
  2. Step 2: Convert to fraction form
    8,446.74/12,663.65 = 5,114.26/x
  3. Step 3: Cross multiply
    8,446.74x = 12,663.65 × 5,114.26
  4. Step 4: Simplify right side
    8,446.74x = 64,765,173.08
  5. Step 5: Solve for x
    x = 64,765,173.08/8,446.74
  6. Step 6: Final answer
    x = 7,667.48

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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.