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Finding the Fourth Proportional to 3,106.66, 4,660 and 915.22

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Solution

The fourth proportional to 3,106.66, 4,660 and 915.22 is: 1,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.66 : 4,660 = 915.22 : x
  2. Step 2: Convert to fraction form
    3,106.66/4,660 = 915.22/x
  3. Step 3: Cross multiply
    3,106.66x = 4,660 × 915.22
  4. Step 4: Simplify right side
    3,106.66x = 4,264,925.20
  5. Step 5: Solve for x
    x = 4,264,925.20/3,106.66
  6. Step 6: Final answer
    x = 1,372.83

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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.