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Finding the Fourth Proportional to 2,920.29, 4,381.01 and 946.41

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Solution

The fourth proportional to 2,920.29, 4,381.01 and 946.41 is: 1,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.29 : 4,381.01 = 946.41 : x
  2. Step 2: Convert to fraction form
    2,920.29/4,381.01 = 946.41/x
  3. Step 3: Cross multiply
    2,920.29x = 4,381.01 × 946.41
  4. Step 4: Simplify right side
    2,920.29x = 4,146,231.67
  5. Step 5: Solve for x
    x = 4,146,231.67/2,920.29
  6. Step 6: Final answer
    x = 1,419.80

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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.