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Finding the Fourth Proportional to 1,787.16, 2,462.64 and 1,520.76

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Solution

The fourth proportional to 1,787.16, 2,462.64 and 1,520.76 is: 2,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.16 : 2,462.64 = 1,520.76 : x
  2. Step 2: Convert to fraction form
    1,787.16/2,462.64 = 1,520.76/x
  3. Step 3: Cross multiply
    1,787.16x = 2,462.64 × 1,520.76
  4. Step 4: Simplify right side
    1,787.16x = 3,745,084.41
  5. Step 5: Solve for x
    x = 3,745,084.41/1,787.16
  6. Step 6: Final answer
    x = 2,095.55

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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.