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Finding the Fourth Proportional to 6,302.80, 8,695.92 and 4,207.60

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Solution

The fourth proportional to 6,302.80, 8,695.92 and 4,207.60 is: 5,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.80 : 8,695.92 = 4,207.60 : x
  2. Step 2: Convert to fraction form
    6,302.80/8,695.92 = 4,207.60/x
  3. Step 3: Cross multiply
    6,302.80x = 8,695.92 × 4,207.60
  4. Step 4: Simplify right side
    6,302.80x = 36,588,952.99
  5. Step 5: Solve for x
    x = 36,588,952.99/6,302.80
  6. Step 6: Final answer
    x = 5,805.19

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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.