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Finding the Fourth Proportional to 1,411.01, 1,947.24 and 938.08

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Solution

The fourth proportional to 1,411.01, 1,947.24 and 938.08 is: 1,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.01 : 1,947.24 = 938.08 : x
  2. Step 2: Convert to fraction form
    1,411.01/1,947.24 = 938.08/x
  3. Step 3: Cross multiply
    1,411.01x = 1,947.24 × 938.08
  4. Step 4: Simplify right side
    1,411.01x = 1,826,666.90
  5. Step 5: Solve for x
    x = 1,826,666.90/1,411.01
  6. Step 6: Final answer
    x = 1,294.58

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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.