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Finding the Fourth Proportional to 7,764.16, 11,648.16 and 2,570.56

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Solution

The fourth proportional to 7,764.16, 11,648.16 and 2,570.56 is: 3,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.16 : 11,648.16 = 2,570.56 : x
  2. Step 2: Convert to fraction form
    7,764.16/11,648.16 = 2,570.56/x
  3. Step 3: Cross multiply
    7,764.16x = 11,648.16 × 2,570.56
  4. Step 4: Simplify right side
    7,764.16x = 29,942,294.17
  5. Step 5: Solve for x
    x = 29,942,294.17/7,764.16
  6. Step 6: Final answer
    x = 3,856.48

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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.