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Finding the Fourth Proportional to 10,779.90, 16,158.90 and 8,177.38

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Solution

The fourth proportional to 10,779.90, 16,158.90 and 8,177.38 is: 12,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.90 : 16,158.90 = 8,177.38 : x
  2. Step 2: Convert to fraction form
    10,779.90/16,158.90 = 8,177.38/x
  3. Step 3: Cross multiply
    10,779.90x = 16,158.90 × 8,177.38
  4. Step 4: Simplify right side
    10,779.90x = 132,137,465.68
  5. Step 5: Solve for x
    x = 132,137,465.68/10,779.90
  6. Step 6: Final answer
    x = 12,257.76

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1.5x scale

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.