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Finding the Fourth Proportional to 3,106.83, 4,660.29 and 915.06

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Solution

The fourth proportional to 3,106.83, 4,660.29 and 915.06 is: 1,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.83 : 4,660.29 = 915.06 : x
  2. Step 2: Convert to fraction form
    3,106.83/4,660.29 = 915.06/x
  3. Step 3: Cross multiply
    3,106.83x = 4,660.29 × 915.06
  4. Step 4: Simplify right side
    3,106.83x = 4,264,444.97
  5. Step 5: Solve for x
    x = 4,264,444.97/3,106.83
  6. Step 6: Final answer
    x = 1,372.60

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1.5x scale

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.