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Finding the Fourth Proportional to 5,306, 7,961.92 and 2,570

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Solution

The fourth proportional to 5,306, 7,961.92 and 2,570 is: 3,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306 : 7,961.92 = 2,570 : x
  2. Step 2: Convert to fraction form
    5,306/7,961.92 = 2,570/x
  3. Step 3: Cross multiply
    5,306x = 7,961.92 × 2,570
  4. Step 4: Simplify right side
    5,306x = 20,462,134.40
  5. Step 5: Solve for x
    x = 20,462,134.40/5,306
  6. Step 6: Final answer
    x = 3,856.41

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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.