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Finding the Fourth Proportional to 3,107.30, 4,659.30 and 915.71

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Solution

The fourth proportional to 3,107.30, 4,659.30 and 915.71 is: 1,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.30 : 4,659.30 = 915.71 : x
  2. Step 2: Convert to fraction form
    3,107.30/4,659.30 = 915.71/x
  3. Step 3: Cross multiply
    3,107.30x = 4,659.30 × 915.71
  4. Step 4: Simplify right side
    3,107.30x = 4,266,544.31
  5. Step 5: Solve for x
    x = 4,266,544.31/3,107.30
  6. Step 6: Final answer
    x = 1,373.07

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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.