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Finding the Fourth Proportional to 3,902.96, 5,385 and 2,330.48

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Solution

The fourth proportional to 3,902.96, 5,385 and 2,330.48 is: 3,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.96 : 5,385 = 2,330.48 : x
  2. Step 2: Convert to fraction form
    3,902.96/5,385 = 2,330.48/x
  3. Step 3: Cross multiply
    3,902.96x = 5,385 × 2,330.48
  4. Step 4: Simplify right side
    3,902.96x = 12,549,634.80
  5. Step 5: Solve for x
    x = 12,549,634.80/3,902.96
  6. Step 6: Final answer
    x = 3,215.41

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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.