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Finding the Fourth Proportional to 3,859.32, 5,323.50 and 2,285.88

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Solution

The fourth proportional to 3,859.32, 5,323.50 and 2,285.88 is: 3,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.32 : 5,323.50 = 2,285.88 : x
  2. Step 2: Convert to fraction form
    3,859.32/5,323.50 = 2,285.88/x
  3. Step 3: Cross multiply
    3,859.32x = 5,323.50 × 2,285.88
  4. Step 4: Simplify right side
    3,859.32x = 12,168,882.18
  5. Step 5: Solve for x
    x = 12,168,882.18/3,859.32
  6. Step 6: Final answer
    x = 3,153.12

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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.