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Finding the Fourth Proportional to 3,948.22, 5,916.68 and 2,900

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Solution

The fourth proportional to 3,948.22, 5,916.68 and 2,900 is: 4,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.22 : 5,916.68 = 2,900 : x
  2. Step 2: Convert to fraction form
    3,948.22/5,916.68 = 2,900/x
  3. Step 3: Cross multiply
    3,948.22x = 5,916.68 × 2,900
  4. Step 4: Simplify right side
    3,948.22x = 17,158,372
  5. Step 5: Solve for x
    x = 17,158,372/3,948.22
  6. Step 6: Final answer
    x = 4,345.85

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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.