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Finding the Fourth Proportional to 10,677, 16,017.55 and 3,280.14

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Solution

The fourth proportional to 10,677, 16,017.55 and 3,280.14 is: 4,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677 : 16,017.55 = 3,280.14 : x
  2. Step 2: Convert to fraction form
    10,677/16,017.55 = 3,280.14/x
  3. Step 3: Cross multiply
    10,677x = 16,017.55 × 3,280.14
  4. Step 4: Simplify right side
    10,677x = 52,539,806.46
  5. Step 5: Solve for x
    x = 52,539,806.46/10,677
  6. Step 6: Final answer
    x = 4,920.84

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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.