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Finding the Fourth Proportional to 6,395.68, 9,578.94 and 6,288.76

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Solution

The fourth proportional to 6,395.68, 9,578.94 and 6,288.76 is: 9,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.68 : 9,578.94 = 6,288.76 : x
  2. Step 2: Convert to fraction form
    6,395.68/9,578.94 = 6,288.76/x
  3. Step 3: Cross multiply
    6,395.68x = 9,578.94 × 6,288.76
  4. Step 4: Simplify right side
    6,395.68x = 60,239,654.71
  5. Step 5: Solve for x
    x = 60,239,654.71/6,395.68
  6. Step 6: Final answer
    x = 9,418.80

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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.