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Finding the Fourth Proportional to 7,139.84, 9,852.98 and 3,996

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Solution

The fourth proportional to 7,139.84, 9,852.98 and 3,996 is: 5,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.84 : 9,852.98 = 3,996 : x
  2. Step 2: Convert to fraction form
    7,139.84/9,852.98 = 3,996/x
  3. Step 3: Cross multiply
    7,139.84x = 9,852.98 × 3,996
  4. Step 4: Simplify right side
    7,139.84x = 39,372,488.10
  5. Step 5: Solve for x
    x = 39,372,488.10/7,139.84
  6. Step 6: Final answer
    x = 5,514.48

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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.