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Finding the Fourth Proportional to 13,901.20, 20,851.84 and 6,974.08

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Solution

The fourth proportional to 13,901.20, 20,851.84 and 6,974.08 is: 10,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.20 : 20,851.84 = 6,974.08 : x
  2. Step 2: Convert to fraction form
    13,901.20/20,851.84 = 6,974.08/x
  3. Step 3: Cross multiply
    13,901.20x = 20,851.84 × 6,974.08
  4. Step 4: Simplify right side
    13,901.20x = 145,422,400.31
  5. Step 5: Solve for x
    x = 145,422,400.31/13,901.20
  6. Step 6: Final answer
    x = 10,461.14

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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.