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Finding the Fourth Proportional to 2,570.76, 3,856.95 and 1,010.97

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Solution

The fourth proportional to 2,570.76, 3,856.95 and 1,010.97 is: 1,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.76 : 3,856.95 = 1,010.97 : x
  2. Step 2: Convert to fraction form
    2,570.76/3,856.95 = 1,010.97/x
  3. Step 3: Cross multiply
    2,570.76x = 3,856.95 × 1,010.97
  4. Step 4: Simplify right side
    2,570.76x = 3,899,260.74
  5. Step 5: Solve for x
    x = 3,899,260.74/2,570.76
  6. Step 6: Final answer
    x = 1,516.77

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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.