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Finding the Fourth Proportional to 6,749.20, 10,123.80 and 6,522.40

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Solution

The fourth proportional to 6,749.20, 10,123.80 and 6,522.40 is: 9,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.20 : 10,123.80 = 6,522.40 : x
  2. Step 2: Convert to fraction form
    6,749.20/10,123.80 = 6,522.40/x
  3. Step 3: Cross multiply
    6,749.20x = 10,123.80 × 6,522.40
  4. Step 4: Simplify right side
    6,749.20x = 66,031,473.12
  5. Step 5: Solve for x
    x = 66,031,473.12/6,749.20
  6. Step 6: Final answer
    x = 9,783.60

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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.