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Finding the Fourth Proportional to 8,649.87, 11,934.35 and 4,871.71

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Solution

The fourth proportional to 8,649.87, 11,934.35 and 4,871.71 is: 6,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.87 : 11,934.35 = 4,871.71 : x
  2. Step 2: Convert to fraction form
    8,649.87/11,934.35 = 4,871.71/x
  3. Step 3: Cross multiply
    8,649.87x = 11,934.35 × 4,871.71
  4. Step 4: Simplify right side
    8,649.87x = 58,140,687.37
  5. Step 5: Solve for x
    x = 58,140,687.37/8,649.87
  6. Step 6: Final answer
    x = 6,721.57

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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.