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Finding the Fourth Proportional to 6,395.88, 9,578.34 and 5,292.12

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Solution

The fourth proportional to 6,395.88, 9,578.34 and 5,292.12 is: 7,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.88 : 9,578.34 = 5,292.12 : x
  2. Step 2: Convert to fraction form
    6,395.88/9,578.34 = 5,292.12/x
  3. Step 3: Cross multiply
    6,395.88x = 9,578.34 × 5,292.12
  4. Step 4: Simplify right side
    6,395.88x = 50,689,724.68
  5. Step 5: Solve for x
    x = 50,689,724.68/6,395.88
  6. Step 6: Final answer
    x = 7,925.37

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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.