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Finding the Fourth Proportional to 5,632.40, 7,772 and 3,393.68

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Solution

The fourth proportional to 5,632.40, 7,772 and 3,393.68 is: 4,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.40 : 7,772 = 3,393.68 : x
  2. Step 2: Convert to fraction form
    5,632.40/7,772 = 3,393.68/x
  3. Step 3: Cross multiply
    5,632.40x = 7,772 × 3,393.68
  4. Step 4: Simplify right side
    5,632.40x = 26,375,680.96
  5. Step 5: Solve for x
    x = 26,375,680.96/5,632.40
  6. Step 6: Final answer
    x = 4,682.85

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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.