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Finding the Fourth Proportional to 10,578.64, 15,871.20 and 6,677.68

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Solution

The fourth proportional to 10,578.64, 15,871.20 and 6,677.68 is: 10,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.64 : 15,871.20 = 6,677.68 : x
  2. Step 2: Convert to fraction form
    10,578.64/15,871.20 = 6,677.68/x
  3. Step 3: Cross multiply
    10,578.64x = 15,871.20 × 6,677.68
  4. Step 4: Simplify right side
    10,578.64x = 105,982,794.82
  5. Step 5: Solve for x
    x = 105,982,794.82/10,578.64
  6. Step 6: Final answer
    x = 10,018.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.