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Finding the Fourth Proportional to 1,349.19, 1,862.10 and 878.47

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Solution

The fourth proportional to 1,349.19, 1,862.10 and 878.47 is: 1,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.19 : 1,862.10 = 878.47 : x
  2. Step 2: Convert to fraction form
    1,349.19/1,862.10 = 878.47/x
  3. Step 3: Cross multiply
    1,349.19x = 1,862.10 × 878.47
  4. Step 4: Simplify right side
    1,349.19x = 1,635,794.33
  5. Step 5: Solve for x
    x = 1,635,794.33/1,349.19
  6. Step 6: Final answer
    x = 1,212.43

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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.