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Finding the Fourth Proportional to 6,490.78, 9,736.17 and 1,560.42

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Solution

The fourth proportional to 6,490.78, 9,736.17 and 1,560.42 is: 2,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.78 : 9,736.17 = 1,560.42 : x
  2. Step 2: Convert to fraction form
    6,490.78/9,736.17 = 1,560.42/x
  3. Step 3: Cross multiply
    6,490.78x = 9,736.17 × 1,560.42
  4. Step 4: Simplify right side
    6,490.78x = 15,192,516.34
  5. Step 5: Solve for x
    x = 15,192,516.34/6,490.78
  6. Step 6: Final answer
    x = 2,340.63

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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.