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Finding the Fourth Proportional to 8,431.68, 11,638.10 and 4,894.20

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Solution

The fourth proportional to 8,431.68, 11,638.10 and 4,894.20 is: 6,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.68 : 11,638.10 = 4,894.20 : x
  2. Step 2: Convert to fraction form
    8,431.68/11,638.10 = 4,894.20/x
  3. Step 3: Cross multiply
    8,431.68x = 11,638.10 × 4,894.20
  4. Step 4: Simplify right side
    8,431.68x = 56,959,189.02
  5. Step 5: Solve for x
    x = 56,959,189.02/8,431.68
  6. Step 6: Final answer
    x = 6,755.38

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.