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Finding the Fourth Proportional to 6,356.78, 9,513.08 and 5,631.02

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Solution

The fourth proportional to 6,356.78, 9,513.08 and 5,631.02 is: 8,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.78 : 9,513.08 = 5,631.02 : x
  2. Step 2: Convert to fraction form
    6,356.78/9,513.08 = 5,631.02/x
  3. Step 3: Cross multiply
    6,356.78x = 9,513.08 × 5,631.02
  4. Step 4: Simplify right side
    6,356.78x = 53,568,343.74
  5. Step 5: Solve for x
    x = 53,568,343.74/6,356.78
  6. Step 6: Final answer
    x = 8,426.96

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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.