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Finding the Fourth Proportional to 3,842.69, 5,756.47 and 2,869.61

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Solution

The fourth proportional to 3,842.69, 5,756.47 and 2,869.61 is: 4,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.69 : 5,756.47 = 2,869.61 : x
  2. Step 2: Convert to fraction form
    3,842.69/5,756.47 = 2,869.61/x
  3. Step 3: Cross multiply
    3,842.69x = 5,756.47 × 2,869.61
  4. Step 4: Simplify right side
    3,842.69x = 16,518,787.92
  5. Step 5: Solve for x
    x = 16,518,787.92/3,842.69
  6. Step 6: Final answer
    x = 4,298.76

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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.