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Finding the Fourth Proportional to 2,687.98, 3,709.02 and 1,508.98

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Solution

The fourth proportional to 2,687.98, 3,709.02 and 1,508.98 is: 2,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.98 : 3,709.02 = 1,508.98 : x
  2. Step 2: Convert to fraction form
    2,687.98/3,709.02 = 1,508.98/x
  3. Step 3: Cross multiply
    2,687.98x = 3,709.02 × 1,508.98
  4. Step 4: Simplify right side
    2,687.98x = 5,596,837.00
  5. Step 5: Solve for x
    x = 5,596,837.00/2,687.98
  6. Step 6: Final answer
    x = 2,082.17

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1.5x scale

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.