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Finding the Fourth Proportional to 2,576.96, 3,865.12 and 1,477.76

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Solution

The fourth proportional to 2,576.96, 3,865.12 and 1,477.76 is: 2,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.96 : 3,865.12 = 1,477.76 : x
  2. Step 2: Convert to fraction form
    2,576.96/3,865.12 = 1,477.76/x
  3. Step 3: Cross multiply
    2,576.96x = 3,865.12 × 1,477.76
  4. Step 4: Simplify right side
    2,576.96x = 5,711,719.73
  5. Step 5: Solve for x
    x = 5,711,719.73/2,576.96
  6. Step 6: Final answer
    x = 2,216.46

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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.