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Finding the Fourth Proportional to 2,576.62, 3,865.23 and 1,931.45

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Solution

The fourth proportional to 2,576.62, 3,865.23 and 1,931.45 is: 2,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.62 : 3,865.23 = 1,931.45 : x
  2. Step 2: Convert to fraction form
    2,576.62/3,865.23 = 1,931.45/x
  3. Step 3: Cross multiply
    2,576.62x = 3,865.23 × 1,931.45
  4. Step 4: Simplify right side
    2,576.62x = 7,465,508.15
  5. Step 5: Solve for x
    x = 7,465,508.15/2,576.62
  6. Step 6: Final answer
    x = 2,897.41

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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.