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Finding the Fourth Proportional to 5,778.68, 7,975.05 and 3,260.66

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Solution

The fourth proportional to 5,778.68, 7,975.05 and 3,260.66 is: 4,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.68 : 7,975.05 = 3,260.66 : x
  2. Step 2: Convert to fraction form
    5,778.68/7,975.05 = 3,260.66/x
  3. Step 3: Cross multiply
    5,778.68x = 7,975.05 × 3,260.66
  4. Step 4: Simplify right side
    5,778.68x = 26,003,926.53
  5. Step 5: Solve for x
    x = 26,003,926.53/5,778.68
  6. Step 6: Final answer
    x = 4,499.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.