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Finding the Fourth Proportional to 1,411.12, 1,948.32 and 946

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Solution

The fourth proportional to 1,411.12, 1,948.32 and 946 is: 1,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.12 : 1,948.32 = 946 : x
  2. Step 2: Convert to fraction form
    1,411.12/1,948.32 = 946/x
  3. Step 3: Cross multiply
    1,411.12x = 1,948.32 × 946
  4. Step 4: Simplify right side
    1,411.12x = 1,843,110.72
  5. Step 5: Solve for x
    x = 1,843,110.72/1,411.12
  6. Step 6: Final answer
    x = 1,306.13

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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.