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Finding the Fourth Proportional to 4,275.76, 5,895.81 and 2,781.31

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Solution

The fourth proportional to 4,275.76, 5,895.81 and 2,781.31 is: 3,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.76 : 5,895.81 = 2,781.31 : x
  2. Step 2: Convert to fraction form
    4,275.76/5,895.81 = 2,781.31/x
  3. Step 3: Cross multiply
    4,275.76x = 5,895.81 × 2,781.31
  4. Step 4: Simplify right side
    4,275.76x = 16,398,075.31
  5. Step 5: Solve for x
    x = 16,398,075.31/4,275.76
  6. Step 6: Final answer
    x = 3,835.13

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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.