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Finding the Fourth Proportional to 6,490.14, 9,734.86 and 3,715.08

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Solution

The fourth proportional to 6,490.14, 9,734.86 and 3,715.08 is: 5,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.14 : 9,734.86 = 3,715.08 : x
  2. Step 2: Convert to fraction form
    6,490.14/9,734.86 = 3,715.08/x
  3. Step 3: Cross multiply
    6,490.14x = 9,734.86 × 3,715.08
  4. Step 4: Simplify right side
    6,490.14x = 36,165,783.69
  5. Step 5: Solve for x
    x = 36,165,783.69/6,490.14
  6. Step 6: Final answer
    x = 5,572.42

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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.