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Finding the Fourth Proportional to 2,287.84, 3,156.20 and 1,815.92

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Solution

The fourth proportional to 2,287.84, 3,156.20 and 1,815.92 is: 2,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.84 : 3,156.20 = 1,815.92 : x
  2. Step 2: Convert to fraction form
    2,287.84/3,156.20 = 1,815.92/x
  3. Step 3: Cross multiply
    2,287.84x = 3,156.20 × 1,815.92
  4. Step 4: Simplify right side
    2,287.84x = 5,731,406.70
  5. Step 5: Solve for x
    x = 5,731,406.70/2,287.84
  6. Step 6: Final answer
    x = 2,505.16

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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.