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Finding the Fourth Proportional to 3,106.64, 4,659.60 and 915.80

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Solution

The fourth proportional to 3,106.64, 4,659.60 and 915.80 is: 1,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.64 : 4,659.60 = 915.80 : x
  2. Step 2: Convert to fraction form
    3,106.64/4,659.60 = 915.80/x
  3. Step 3: Cross multiply
    3,106.64x = 4,659.60 × 915.80
  4. Step 4: Simplify right side
    3,106.64x = 4,267,261.68
  5. Step 5: Solve for x
    x = 4,267,261.68/3,106.64
  6. Step 6: Final answer
    x = 1,373.59

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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.