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Finding the Fourth Proportional to 5,635.12, 7,767.12 and 5,164.48

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Solution

The fourth proportional to 5,635.12, 7,767.12 and 5,164.48 is: 7,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.12 : 7,767.12 = 5,164.48 : x
  2. Step 2: Convert to fraction form
    5,635.12/7,767.12 = 5,164.48/x
  3. Step 3: Cross multiply
    5,635.12x = 7,767.12 × 5,164.48
  4. Step 4: Simplify right side
    5,635.12x = 40,113,135.90
  5. Step 5: Solve for x
    x = 40,113,135.90/5,635.12
  6. Step 6: Final answer
    x = 7,118.42

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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.