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Finding the Fourth Proportional to 8,108.99, 12,167.27 and 7,977.95

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Solution

The fourth proportional to 8,108.99, 12,167.27 and 7,977.95 is: 11,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.99 : 12,167.27 = 7,977.95 : x
  2. Step 2: Convert to fraction form
    8,108.99/12,167.27 = 7,977.95/x
  3. Step 3: Cross multiply
    8,108.99x = 12,167.27 × 7,977.95
  4. Step 4: Simplify right side
    8,108.99x = 97,069,871.70
  5. Step 5: Solve for x
    x = 97,069,871.70/8,108.99
  6. Step 6: Final answer
    x = 11,970.65

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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.