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Finding the Fourth Proportional to 1,467.95, 2,025.09 and 878.13

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Solution

The fourth proportional to 1,467.95, 2,025.09 and 878.13 is: 1,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.95 : 2,025.09 = 878.13 : x
  2. Step 2: Convert to fraction form
    1,467.95/2,025.09 = 878.13/x
  3. Step 3: Cross multiply
    1,467.95x = 2,025.09 × 878.13
  4. Step 4: Simplify right side
    1,467.95x = 1,778,292.28
  5. Step 5: Solve for x
    x = 1,778,292.28/1,467.95
  6. Step 6: Final answer
    x = 1,211.42

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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.