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Finding the Fourth Proportional to 6,332.50, 8,742.10 and 3,977.02

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Solution

The fourth proportional to 6,332.50, 8,742.10 and 3,977.02 is: 5,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.50 : 8,742.10 = 3,977.02 : x
  2. Step 2: Convert to fraction form
    6,332.50/8,742.10 = 3,977.02/x
  3. Step 3: Cross multiply
    6,332.50x = 8,742.10 × 3,977.02
  4. Step 4: Simplify right side
    6,332.50x = 34,767,506.54
  5. Step 5: Solve for x
    x = 34,767,506.54/6,332.50
  6. Step 6: Final answer
    x = 5,490.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.