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Finding the Fourth Proportional to 2,851.62, 4,278.06 and 877.26

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Solution

The fourth proportional to 2,851.62, 4,278.06 and 877.26 is: 1,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.62 : 4,278.06 = 877.26 : x
  2. Step 2: Convert to fraction form
    2,851.62/4,278.06 = 877.26/x
  3. Step 3: Cross multiply
    2,851.62x = 4,278.06 × 877.26
  4. Step 4: Simplify right side
    2,851.62x = 3,752,970.92
  5. Step 5: Solve for x
    x = 3,752,970.92/2,851.62
  6. Step 6: Final answer
    x = 1,316.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.