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Finding the Fourth Proportional to 6,403.81, 9,588.89 and 5,147.74

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Solution

The fourth proportional to 6,403.81, 9,588.89 and 5,147.74 is: 7,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.81 : 9,588.89 = 5,147.74 : x
  2. Step 2: Convert to fraction form
    6,403.81/9,588.89 = 5,147.74/x
  3. Step 3: Cross multiply
    6,403.81x = 9,588.89 × 5,147.74
  4. Step 4: Simplify right side
    6,403.81x = 49,361,112.61
  5. Step 5: Solve for x
    x = 49,361,112.61/6,403.81
  6. Step 6: Final answer
    x = 7,708.09

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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.