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Finding the Fourth Proportional to 6,885.76, 10,326.80 and 2,989.28

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Solution

The fourth proportional to 6,885.76, 10,326.80 and 2,989.28 is: 4,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.76 : 10,326.80 = 2,989.28 : x
  2. Step 2: Convert to fraction form
    6,885.76/10,326.80 = 2,989.28/x
  3. Step 3: Cross multiply
    6,885.76x = 10,326.80 × 2,989.28
  4. Step 4: Simplify right side
    6,885.76x = 30,869,696.70
  5. Step 5: Solve for x
    x = 30,869,696.70/6,885.76
  6. Step 6: Final answer
    x = 4,483.12

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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.