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Finding the Fourth Proportional to 1,687.32, 2,536.38 and 1,600.92

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Solution

The fourth proportional to 1,687.32, 2,536.38 and 1,600.92 is: 2,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.32 : 2,536.38 = 1,600.92 : x
  2. Step 2: Convert to fraction form
    1,687.32/2,536.38 = 1,600.92/x
  3. Step 3: Cross multiply
    1,687.32x = 2,536.38 × 1,600.92
  4. Step 4: Simplify right side
    1,687.32x = 4,060,541.47
  5. Step 5: Solve for x
    x = 4,060,541.47/1,687.32
  6. Step 6: Final answer
    x = 2,406.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.