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Finding the Fourth Proportional to 5,666.78, 8,490.90 and 3,468.80

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Solution

The fourth proportional to 5,666.78, 8,490.90 and 3,468.80 is: 5,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.78 : 8,490.90 = 3,468.80 : x
  2. Step 2: Convert to fraction form
    5,666.78/8,490.90 = 3,468.80/x
  3. Step 3: Cross multiply
    5,666.78x = 8,490.90 × 3,468.80
  4. Step 4: Simplify right side
    5,666.78x = 29,453,233.92
  5. Step 5: Solve for x
    x = 29,453,233.92/5,666.78
  6. Step 6: Final answer
    x = 5,197.53

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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.