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Finding the Fourth Proportional to 4,915.68, 7,361.78 and 2,831.30

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Solution

The fourth proportional to 4,915.68, 7,361.78 and 2,831.30 is: 4,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.68 : 7,361.78 = 2,831.30 : x
  2. Step 2: Convert to fraction form
    4,915.68/7,361.78 = 2,831.30/x
  3. Step 3: Cross multiply
    4,915.68x = 7,361.78 × 2,831.30
  4. Step 4: Simplify right side
    4,915.68x = 20,843,407.71
  5. Step 5: Solve for x
    x = 20,843,407.71/4,915.68
  6. Step 6: Final answer
    x = 4,240.19

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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.