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Finding the Fourth Proportional to 1,395.13, 1,924.11 and 923.05

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Solution

The fourth proportional to 1,395.13, 1,924.11 and 923.05 is: 1,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.13 : 1,924.11 = 923.05 : x
  2. Step 2: Convert to fraction form
    1,395.13/1,924.11 = 923.05/x
  3. Step 3: Cross multiply
    1,395.13x = 1,924.11 × 923.05
  4. Step 4: Simplify right side
    1,395.13x = 1,776,049.74
  5. Step 5: Solve for x
    x = 1,776,049.74/1,395.13
  6. Step 6: Final answer
    x = 1,273.04

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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.