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Finding the Fourth Proportional to 2,385.92, 3,575.04 and 2,019.84

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Solution

The fourth proportional to 2,385.92, 3,575.04 and 2,019.84 is: 3,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.92 : 3,575.04 = 2,019.84 : x
  2. Step 2: Convert to fraction form
    2,385.92/3,575.04 = 2,019.84/x
  3. Step 3: Cross multiply
    2,385.92x = 3,575.04 × 2,019.84
  4. Step 4: Simplify right side
    2,385.92x = 7,221,008.79
  5. Step 5: Solve for x
    x = 7,221,008.79/2,385.92
  6. Step 6: Final answer
    x = 3,026.51

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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.