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Finding the Fourth Proportional to 7,139.84, 10,709.75 and 3,241.50

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Solution

The fourth proportional to 7,139.84, 10,709.75 and 3,241.50 is: 4,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.84 : 10,709.75 = 3,241.50 : x
  2. Step 2: Convert to fraction form
    7,139.84/10,709.75 = 3,241.50/x
  3. Step 3: Cross multiply
    7,139.84x = 10,709.75 × 3,241.50
  4. Step 4: Simplify right side
    7,139.84x = 34,715,638.42
  5. Step 5: Solve for x
    x = 34,715,638.42/7,139.84
  6. Step 6: Final answer
    x = 4,862.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.