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Finding the Fourth Proportional to 1,362.57, 1,878.84 and 1,332.42

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Solution

The fourth proportional to 1,362.57, 1,878.84 and 1,332.42 is: 1,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.57 : 1,878.84 = 1,332.42 : x
  2. Step 2: Convert to fraction form
    1,362.57/1,878.84 = 1,332.42/x
  3. Step 3: Cross multiply
    1,362.57x = 1,878.84 × 1,332.42
  4. Step 4: Simplify right side
    1,362.57x = 2,503,403.99
  5. Step 5: Solve for x
    x = 2,503,403.99/1,362.57
  6. Step 6: Final answer
    x = 1,837.27

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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.