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Finding the Fourth Proportional to 6,632.88, 9,145.08 and 5,578.80

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Solution

The fourth proportional to 6,632.88, 9,145.08 and 5,578.80 is: 7,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.88 : 9,145.08 = 5,578.80 : x
  2. Step 2: Convert to fraction form
    6,632.88/9,145.08 = 5,578.80/x
  3. Step 3: Cross multiply
    6,632.88x = 9,145.08 × 5,578.80
  4. Step 4: Simplify right side
    6,632.88x = 51,018,572.30
  5. Step 5: Solve for x
    x = 51,018,572.30/6,632.88
  6. Step 6: Final answer
    x = 7,691.77

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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.