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Finding the Fourth Proportional to 11,012.97, 15,197.94 and 5,977.20

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Solution

The fourth proportional to 11,012.97, 15,197.94 and 5,977.20 is: 8,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.97 : 15,197.94 = 5,977.20 : x
  2. Step 2: Convert to fraction form
    11,012.97/15,197.94 = 5,977.20/x
  3. Step 3: Cross multiply
    11,012.97x = 15,197.94 × 5,977.20
  4. Step 4: Simplify right side
    11,012.97x = 90,841,126.97
  5. Step 5: Solve for x
    x = 90,841,126.97/11,012.97
  6. Step 6: Final answer
    x = 8,248.56

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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.