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Finding the Fourth Proportional to 1,377.93, 1,901.75 and 854.13

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Solution

The fourth proportional to 1,377.93, 1,901.75 and 854.13 is: 1,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.93 : 1,901.75 = 854.13 : x
  2. Step 2: Convert to fraction form
    1,377.93/1,901.75 = 854.13/x
  3. Step 3: Cross multiply
    1,377.93x = 1,901.75 × 854.13
  4. Step 4: Simplify right side
    1,377.93x = 1,624,341.73
  5. Step 5: Solve for x
    x = 1,624,341.73/1,377.93
  6. Step 6: Final answer
    x = 1,178.83

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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.