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Finding the Fourth Proportional to 8,977.01, 12,385.06 and 5,198.11

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Solution

The fourth proportional to 8,977.01, 12,385.06 and 5,198.11 is: 7,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.01 : 12,385.06 = 5,198.11 : x
  2. Step 2: Convert to fraction form
    8,977.01/12,385.06 = 5,198.11/x
  3. Step 3: Cross multiply
    8,977.01x = 12,385.06 × 5,198.11
  4. Step 4: Simplify right side
    8,977.01x = 64,378,904.24
  5. Step 5: Solve for x
    x = 64,378,904.24/8,977.01
  6. Step 6: Final answer
    x = 7,171.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.