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Finding the Fourth Proportional to 8,374.86, 12,561.43 and 4,213.17

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Solution

The fourth proportional to 8,374.86, 12,561.43 and 4,213.17 is: 6,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.86 : 12,561.43 = 4,213.17 : x
  2. Step 2: Convert to fraction form
    8,374.86/12,561.43 = 4,213.17/x
  3. Step 3: Cross multiply
    8,374.86x = 12,561.43 × 4,213.17
  4. Step 4: Simplify right side
    8,374.86x = 52,923,440.03
  5. Step 5: Solve for x
    x = 52,923,440.03/8,374.86
  6. Step 6: Final answer
    x = 6,319.32

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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.