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Finding the Fourth Proportional to 6,139.76, 8,472.87 and 3,488.02

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Solution

The fourth proportional to 6,139.76, 8,472.87 and 3,488.02 is: 4,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.76 : 8,472.87 = 3,488.02 : x
  2. Step 2: Convert to fraction form
    6,139.76/8,472.87 = 3,488.02/x
  3. Step 3: Cross multiply
    6,139.76x = 8,472.87 × 3,488.02
  4. Step 4: Simplify right side
    6,139.76x = 29,553,518.84
  5. Step 5: Solve for x
    x = 29,553,518.84/6,139.76
  6. Step 6: Final answer
    x = 4,813.47

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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.