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Finding the Fourth Proportional to 3,106.95, 4,660.43 and 915.70

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Solution

The fourth proportional to 3,106.95, 4,660.43 and 915.70 is: 1,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.95 : 4,660.43 = 915.70 : x
  2. Step 2: Convert to fraction form
    3,106.95/4,660.43 = 915.70/x
  3. Step 3: Cross multiply
    3,106.95x = 4,660.43 × 915.70
  4. Step 4: Simplify right side
    3,106.95x = 4,267,555.75
  5. Step 5: Solve for x
    x = 4,267,555.75/3,106.95
  6. Step 6: Final answer
    x = 1,373.55

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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.