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Finding the Fourth Proportional to 8,302.92, 11,458.17 and 4,766.10

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Solution

The fourth proportional to 8,302.92, 11,458.17 and 4,766.10 is: 6,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.92 : 11,458.17 = 4,766.10 : x
  2. Step 2: Convert to fraction form
    8,302.92/11,458.17 = 4,766.10/x
  3. Step 3: Cross multiply
    8,302.92x = 11,458.17 × 4,766.10
  4. Step 4: Simplify right side
    8,302.92x = 54,610,784.04
  5. Step 5: Solve for x
    x = 54,610,784.04/8,302.92
  6. Step 6: Final answer
    x = 6,577.30

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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.