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Finding the Fourth Proportional to 8,354.97, 12,534.93 and 3,161.25

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Solution

The fourth proportional to 8,354.97, 12,534.93 and 3,161.25 is: 4,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.97 : 12,534.93 = 3,161.25 : x
  2. Step 2: Convert to fraction form
    8,354.97/12,534.93 = 3,161.25/x
  3. Step 3: Cross multiply
    8,354.97x = 12,534.93 × 3,161.25
  4. Step 4: Simplify right side
    8,354.97x = 39,626,047.46
  5. Step 5: Solve for x
    x = 39,626,047.46/8,354.97
  6. Step 6: Final answer
    x = 4,742.81

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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.