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Finding the Fourth Proportional to 6,551.76, 9,815.06 and 5,157.74

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Solution

The fourth proportional to 6,551.76, 9,815.06 and 5,157.74 is: 7,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.76 : 9,815.06 = 5,157.74 : x
  2. Step 2: Convert to fraction form
    6,551.76/9,815.06 = 5,157.74/x
  3. Step 3: Cross multiply
    6,551.76x = 9,815.06 × 5,157.74
  4. Step 4: Simplify right side
    6,551.76x = 50,623,527.56
  5. Step 5: Solve for x
    x = 50,623,527.56/6,551.76
  6. Step 6: Final answer
    x = 7,726.71

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1.5x scale

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.