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Finding the Fourth Proportional to 1,381.95, 1,906.88 and 984.65

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Solution

The fourth proportional to 1,381.95, 1,906.88 and 984.65 is: 1,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.95 : 1,906.88 = 984.65 : x
  2. Step 2: Convert to fraction form
    1,381.95/1,906.88 = 984.65/x
  3. Step 3: Cross multiply
    1,381.95x = 1,906.88 × 984.65
  4. Step 4: Simplify right side
    1,381.95x = 1,877,594.93
  5. Step 5: Solve for x
    x = 1,877,594.93/1,381.95
  6. Step 6: Final answer
    x = 1,358.66

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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.