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Finding the Fourth Proportional to 1,381.07, 1,905.01 and 821.14

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Solution

The fourth proportional to 1,381.07, 1,905.01 and 821.14 is: 1,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.07 : 1,905.01 = 821.14 : x
  2. Step 2: Convert to fraction form
    1,381.07/1,905.01 = 821.14/x
  3. Step 3: Cross multiply
    1,381.07x = 1,905.01 × 821.14
  4. Step 4: Simplify right side
    1,381.07x = 1,564,273.10
  5. Step 5: Solve for x
    x = 1,564,273.10/1,381.07
  6. Step 6: Final answer
    x = 1,132.65

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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.