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Finding the Fourth Proportional to 3,157.84, 4,358.78 and 1,831.87

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Solution

The fourth proportional to 3,157.84, 4,358.78 and 1,831.87 is: 2,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.84 : 4,358.78 = 1,831.87 : x
  2. Step 2: Convert to fraction form
    3,157.84/4,358.78 = 1,831.87/x
  3. Step 3: Cross multiply
    3,157.84x = 4,358.78 × 1,831.87
  4. Step 4: Simplify right side
    3,157.84x = 7,984,718.32
  5. Step 5: Solve for x
    x = 7,984,718.32/3,157.84
  6. Step 6: Final answer
    x = 2,528.54

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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.