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Finding the Fourth Proportional to 7,165.70, 10,748.55 and 6,558.20

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Solution

The fourth proportional to 7,165.70, 10,748.55 and 6,558.20 is: 9,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.70 : 10,748.55 = 6,558.20 : x
  2. Step 2: Convert to fraction form
    7,165.70/10,748.55 = 6,558.20/x
  3. Step 3: Cross multiply
    7,165.70x = 10,748.55 × 6,558.20
  4. Step 4: Simplify right side
    7,165.70x = 70,491,140.61
  5. Step 5: Solve for x
    x = 70,491,140.61/7,165.70
  6. Step 6: Final answer
    x = 9,837.30

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Similar ratio
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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.