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Finding the Fourth Proportional to 2,808, 3,875.04 and 1,876.80

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Solution

The fourth proportional to 2,808, 3,875.04 and 1,876.80 is: 2,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808 : 3,875.04 = 1,876.80 : x
  2. Step 2: Convert to fraction form
    2,808/3,875.04 = 1,876.80/x
  3. Step 3: Cross multiply
    2,808x = 3,875.04 × 1,876.80
  4. Step 4: Simplify right side
    2,808x = 7,272,675.07
  5. Step 5: Solve for x
    x = 7,272,675.07/2,808
  6. Step 6: Final answer
    x = 2,589.98

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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.