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Finding the Fourth Proportional to 8,407.86, 12,625.84 and 5,252.63

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Solution

The fourth proportional to 8,407.86, 12,625.84 and 5,252.63 is: 7,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.86 : 12,625.84 = 5,252.63 : x
  2. Step 2: Convert to fraction form
    8,407.86/12,625.84 = 5,252.63/x
  3. Step 3: Cross multiply
    8,407.86x = 12,625.84 × 5,252.63
  4. Step 4: Simplify right side
    8,407.86x = 66,318,944.76
  5. Step 5: Solve for x
    x = 66,318,944.76/8,407.86
  6. Step 6: Final answer
    x = 7,887.73

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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.