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Finding the Fourth Proportional to 2,671.56, 3,687.90 and 1,831.98

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Solution

The fourth proportional to 2,671.56, 3,687.90 and 1,831.98 is: 2,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.56 : 3,687.90 = 1,831.98 : x
  2. Step 2: Convert to fraction form
    2,671.56/3,687.90 = 1,831.98/x
  3. Step 3: Cross multiply
    2,671.56x = 3,687.90 × 1,831.98
  4. Step 4: Simplify right side
    2,671.56x = 6,756,159.04
  5. Step 5: Solve for x
    x = 6,756,159.04/2,671.56
  6. Step 6: Final answer
    x = 2,528.92

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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.