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Finding the Fourth Proportional to 10,402.75, 15,604.13 and 3,477.25

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Solution

The fourth proportional to 10,402.75, 15,604.13 and 3,477.25 is: 5,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.75 : 15,604.13 = 3,477.25 : x
  2. Step 2: Convert to fraction form
    10,402.75/15,604.13 = 3,477.25/x
  3. Step 3: Cross multiply
    10,402.75x = 15,604.13 × 3,477.25
  4. Step 4: Simplify right side
    10,402.75x = 54,259,461.04
  5. Step 5: Solve for x
    x = 54,259,461.04/10,402.75
  6. Step 6: Final answer
    x = 5,215.88

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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.