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Finding the Fourth Proportional to 1,382.61, 1,906.16 and 988.95

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Solution

The fourth proportional to 1,382.61, 1,906.16 and 988.95 is: 1,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.61 : 1,906.16 = 988.95 : x
  2. Step 2: Convert to fraction form
    1,382.61/1,906.16 = 988.95/x
  3. Step 3: Cross multiply
    1,382.61x = 1,906.16 × 988.95
  4. Step 4: Simplify right side
    1,382.61x = 1,885,091.99
  5. Step 5: Solve for x
    x = 1,885,091.99/1,382.61
  6. Step 6: Final answer
    x = 1,363.43

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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.