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Finding the Fourth Proportional to 3,488.65, 4,814.31 and 1,916.74

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Solution

The fourth proportional to 3,488.65, 4,814.31 and 1,916.74 is: 2,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.65 : 4,814.31 = 1,916.74 : x
  2. Step 2: Convert to fraction form
    3,488.65/4,814.31 = 1,916.74/x
  3. Step 3: Cross multiply
    3,488.65x = 4,814.31 × 1,916.74
  4. Step 4: Simplify right side
    3,488.65x = 9,227,780.55
  5. Step 5: Solve for x
    x = 9,227,780.55/3,488.65
  6. Step 6: Final answer
    x = 2,645.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.