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Finding the Fourth Proportional to 7,177.60, 10,742.10 and 6,302.80

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Solution

The fourth proportional to 7,177.60, 10,742.10 and 6,302.80 is: 9,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.60 : 10,742.10 = 6,302.80 : x
  2. Step 2: Convert to fraction form
    7,177.60/10,742.10 = 6,302.80/x
  3. Step 3: Cross multiply
    7,177.60x = 10,742.10 × 6,302.80
  4. Step 4: Simplify right side
    7,177.60x = 67,705,307.88
  5. Step 5: Solve for x
    x = 67,705,307.88/7,177.60
  6. Step 6: Final answer
    x = 9,432.86

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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.