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Finding the Fourth Proportional to 2,576.29, 3,864.65 and 821.54

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Solution

The fourth proportional to 2,576.29, 3,864.65 and 821.54 is: 1,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.29 : 3,864.65 = 821.54 : x
  2. Step 2: Convert to fraction form
    2,576.29/3,864.65 = 821.54/x
  3. Step 3: Cross multiply
    2,576.29x = 3,864.65 × 821.54
  4. Step 4: Simplify right side
    2,576.29x = 3,174,973.20
  5. Step 5: Solve for x
    x = 3,174,973.20/2,576.29
  6. Step 6: Final answer
    x = 1,232.38

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1.5x scale

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.