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Finding the Fourth Proportional to 8,572.78, 12,847.48 and 5,242.19

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Solution

The fourth proportional to 8,572.78, 12,847.48 and 5,242.19 is: 7,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.78 : 12,847.48 = 5,242.19 : x
  2. Step 2: Convert to fraction form
    8,572.78/12,847.48 = 5,242.19/x
  3. Step 3: Cross multiply
    8,572.78x = 12,847.48 × 5,242.19
  4. Step 4: Simplify right side
    8,572.78x = 67,348,931.18
  5. Step 5: Solve for x
    x = 67,348,931.18/8,572.78
  6. Step 6: Final answer
    x = 7,856.14

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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.