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Finding the Fourth Proportional to 8,716.74, 12,029.01 and 6,488.58

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Solution

The fourth proportional to 8,716.74, 12,029.01 and 6,488.58 is: 8,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.74 : 12,029.01 = 6,488.58 : x
  2. Step 2: Convert to fraction form
    8,716.74/12,029.01 = 6,488.58/x
  3. Step 3: Cross multiply
    8,716.74x = 12,029.01 × 6,488.58
  4. Step 4: Simplify right side
    8,716.74x = 78,051,193.71
  5. Step 5: Solve for x
    x = 78,051,193.71/8,716.74
  6. Step 6: Final answer
    x = 8,954.17

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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.