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Finding the Fourth Proportional to 6,560, 9,828 and 5,157.44

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Solution

The fourth proportional to 6,560, 9,828 and 5,157.44 is: 7,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560 : 9,828 = 5,157.44 : x
  2. Step 2: Convert to fraction form
    6,560/9,828 = 5,157.44/x
  3. Step 3: Cross multiply
    6,560x = 9,828 × 5,157.44
  4. Step 4: Simplify right side
    6,560x = 50,687,320.32
  5. Step 5: Solve for x
    x = 50,687,320.32/6,560
  6. Step 6: Final answer
    x = 7,726.73

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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.