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Finding the Fourth Proportional to 2,920.75, 4,381.11 and 948.02

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Solution

The fourth proportional to 2,920.75, 4,381.11 and 948.02 is: 1,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.75 : 4,381.11 = 948.02 : x
  2. Step 2: Convert to fraction form
    2,920.75/4,381.11 = 948.02/x
  3. Step 3: Cross multiply
    2,920.75x = 4,381.11 × 948.02
  4. Step 4: Simplify right side
    2,920.75x = 4,153,358.00
  5. Step 5: Solve for x
    x = 4,153,358.00/2,920.75
  6. Step 6: Final answer
    x = 1,422.02

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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.