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Finding the Fourth Proportional to 7,148.84, 10,724.80 and 3,639.36

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Solution

The fourth proportional to 7,148.84, 10,724.80 and 3,639.36 is: 5,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.84 : 10,724.80 = 3,639.36 : x
  2. Step 2: Convert to fraction form
    7,148.84/10,724.80 = 3,639.36/x
  3. Step 3: Cross multiply
    7,148.84x = 10,724.80 × 3,639.36
  4. Step 4: Simplify right side
    7,148.84x = 39,031,408.13
  5. Step 5: Solve for x
    x = 39,031,408.13/7,148.84
  6. Step 6: Final answer
    x = 5,459.82

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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.