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Finding the Fourth Proportional to 2,572.40, 3,856.80 and 1,011.80

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Solution

The fourth proportional to 2,572.40, 3,856.80 and 1,011.80 is: 1,516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.40 : 3,856.80 = 1,011.80 : x
  2. Step 2: Convert to fraction form
    2,572.40/3,856.80 = 1,011.80/x
  3. Step 3: Cross multiply
    2,572.40x = 3,856.80 × 1,011.80
  4. Step 4: Simplify right side
    2,572.40x = 3,902,310.24
  5. Step 5: Solve for x
    x = 3,902,310.24/2,572.40
  6. Step 6: Final answer
    x = 1,516.99

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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.