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Finding the Fourth Proportional to 10,488, 15,803.71 and 8,679

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Solution

The fourth proportional to 10,488, 15,803.71 and 8,679 is: 13,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488 : 15,803.71 = 8,679 : x
  2. Step 2: Convert to fraction form
    10,488/15,803.71 = 8,679/x
  3. Step 3: Cross multiply
    10,488x = 15,803.71 × 8,679
  4. Step 4: Simplify right side
    10,488x = 137,160,399.09
  5. Step 5: Solve for x
    x = 137,160,399.09/10,488
  6. Step 6: Final answer
    x = 13,077.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.