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Finding the Fourth Proportional to 2,918, 4,377 and 1,821.80

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Solution

The fourth proportional to 2,918, 4,377 and 1,821.80 is: 2,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918 : 4,377 = 1,821.80 : x
  2. Step 2: Convert to fraction form
    2,918/4,377 = 1,821.80/x
  3. Step 3: Cross multiply
    2,918x = 4,377 × 1,821.80
  4. Step 4: Simplify right side
    2,918x = 7,974,018.60
  5. Step 5: Solve for x
    x = 7,974,018.60/2,918
  6. Step 6: Final answer
    x = 2,732.70

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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.