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Finding the Fourth Proportional to 6,390.54, 9,578.68 and 4,825.46

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Solution

The fourth proportional to 6,390.54, 9,578.68 and 4,825.46 is: 7,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.54 : 9,578.68 = 4,825.46 : x
  2. Step 2: Convert to fraction form
    6,390.54/9,578.68 = 4,825.46/x
  3. Step 3: Cross multiply
    6,390.54x = 9,578.68 × 4,825.46
  4. Step 4: Simplify right side
    6,390.54x = 46,221,549.08
  5. Step 5: Solve for x
    x = 46,221,549.08/6,390.54
  6. Step 6: Final answer
    x = 7,232.81

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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.