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Finding the Fourth Proportional to 6,302.80, 8,697.72 and 3,946.24

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Solution

The fourth proportional to 6,302.80, 8,697.72 and 3,946.24 is: 5,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.80 : 8,697.72 = 3,946.24 : x
  2. Step 2: Convert to fraction form
    6,302.80/8,697.72 = 3,946.24/x
  3. Step 3: Cross multiply
    6,302.80x = 8,697.72 × 3,946.24
  4. Step 4: Simplify right side
    6,302.80x = 34,323,290.57
  5. Step 5: Solve for x
    x = 34,323,290.57/6,302.80
  6. Step 6: Final answer
    x = 5,445.72

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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.