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Finding the Fourth Proportional to 1,687.62, 2,518.70 and 1,548.30

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Solution

The fourth proportional to 1,687.62, 2,518.70 and 1,548.30 is: 2,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.62 : 2,518.70 = 1,548.30 : x
  2. Step 2: Convert to fraction form
    1,687.62/2,518.70 = 1,548.30/x
  3. Step 3: Cross multiply
    1,687.62x = 2,518.70 × 1,548.30
  4. Step 4: Simplify right side
    1,687.62x = 3,899,703.21
  5. Step 5: Solve for x
    x = 3,899,703.21/1,687.62
  6. Step 6: Final answer
    x = 2,310.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.