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Finding the Fourth Proportional to 7,118.70, 9,822.30 and 4,132.99

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Solution

The fourth proportional to 7,118.70, 9,822.30 and 4,132.99 is: 5,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.70 : 9,822.30 = 4,132.99 : x
  2. Step 2: Convert to fraction form
    7,118.70/9,822.30 = 4,132.99/x
  3. Step 3: Cross multiply
    7,118.70x = 9,822.30 × 4,132.99
  4. Step 4: Simplify right side
    7,118.70x = 40,595,467.68
  5. Step 5: Solve for x
    x = 40,595,467.68/7,118.70
  6. Step 6: Final answer
    x = 5,702.65

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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.