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Finding the Fourth Proportional to 2,566.45, 3,871 and 2,262.10

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Solution

The fourth proportional to 2,566.45, 3,871 and 2,262.10 is: 3,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.45 : 3,871 = 2,262.10 : x
  2. Step 2: Convert to fraction form
    2,566.45/3,871 = 2,262.10/x
  3. Step 3: Cross multiply
    2,566.45x = 3,871 × 2,262.10
  4. Step 4: Simplify right side
    2,566.45x = 8,756,589.10
  5. Step 5: Solve for x
    x = 8,756,589.10/2,566.45
  6. Step 6: Final answer
    x = 3,411.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.