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Finding the Fourth Proportional to 7,123, 9,829.80 and 3,979.84

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Solution

The fourth proportional to 7,123, 9,829.80 and 3,979.84 is: 5,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123 : 9,829.80 = 3,979.84 : x
  2. Step 2: Convert to fraction form
    7,123/9,829.80 = 3,979.84/x
  3. Step 3: Cross multiply
    7,123x = 9,829.80 × 3,979.84
  4. Step 4: Simplify right side
    7,123x = 39,121,031.23
  5. Step 5: Solve for x
    x = 39,121,031.23/7,123
  6. Step 6: Final answer
    x = 5,492.21

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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.