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Finding the Fourth Proportional to 1,365.80, 1,884.20 and 842.13

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Solution

The fourth proportional to 1,365.80, 1,884.20 and 842.13 is: 1,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.80 : 1,884.20 = 842.13 : x
  2. Step 2: Convert to fraction form
    1,365.80/1,884.20 = 842.13/x
  3. Step 3: Cross multiply
    1,365.80x = 1,884.20 × 842.13
  4. Step 4: Simplify right side
    1,365.80x = 1,586,737.14
  5. Step 5: Solve for x
    x = 1,586,737.14/1,365.80
  6. Step 6: Final answer
    x = 1,161.77

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1.5x scale

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.