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Finding the Fourth Proportional to 3,488.74, 4,814.54 and 1,916.82

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Solution

The fourth proportional to 3,488.74, 4,814.54 and 1,916.82 is: 2,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.74 : 4,814.54 = 1,916.82 : x
  2. Step 2: Convert to fraction form
    3,488.74/4,814.54 = 1,916.82/x
  3. Step 3: Cross multiply
    3,488.74x = 4,814.54 × 1,916.82
  4. Step 4: Simplify right side
    3,488.74x = 9,228,606.56
  5. Step 5: Solve for x
    x = 9,228,606.56/3,488.74
  6. Step 6: Final answer
    x = 2,645.25

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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.