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Finding the Fourth Proportional to 2,583.78, 3,875.16 and 1,266.97

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Solution

The fourth proportional to 2,583.78, 3,875.16 and 1,266.97 is: 1,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.78 : 3,875.16 = 1,266.97 : x
  2. Step 2: Convert to fraction form
    2,583.78/3,875.16 = 1,266.97/x
  3. Step 3: Cross multiply
    2,583.78x = 3,875.16 × 1,266.97
  4. Step 4: Simplify right side
    2,583.78x = 4,909,701.78
  5. Step 5: Solve for x
    x = 4,909,701.78/2,583.78
  6. Step 6: Final answer
    x = 1,900.20

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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.