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Finding the Fourth Proportional to 1,411.79, 1,948.49 and 1,349.49

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Solution

The fourth proportional to 1,411.79, 1,948.49 and 1,349.49 is: 1,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.79 : 1,948.49 = 1,349.49 : x
  2. Step 2: Convert to fraction form
    1,411.79/1,948.49 = 1,349.49/x
  3. Step 3: Cross multiply
    1,411.79x = 1,948.49 × 1,349.49
  4. Step 4: Simplify right side
    1,411.79x = 2,629,471.14
  5. Step 5: Solve for x
    x = 2,629,471.14/1,411.79
  6. Step 6: Final answer
    x = 1,862.52

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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.