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Finding the Fourth Proportional to 7,118.92, 9,822.18 and 4,322.44

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Solution

The fourth proportional to 7,118.92, 9,822.18 and 4,322.44 is: 5,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.92 : 9,822.18 = 4,322.44 : x
  2. Step 2: Convert to fraction form
    7,118.92/9,822.18 = 4,322.44/x
  3. Step 3: Cross multiply
    7,118.92x = 9,822.18 × 4,322.44
  4. Step 4: Simplify right side
    7,118.92x = 42,455,783.72
  5. Step 5: Solve for x
    x = 42,455,783.72/7,118.92
  6. Step 6: Final answer
    x = 5,963.80

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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.