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Finding the Fourth Proportional to 7,309.61, 10,966.03 and 3,411.89

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Solution

The fourth proportional to 7,309.61, 10,966.03 and 3,411.89 is: 5,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.61 : 10,966.03 = 3,411.89 : x
  2. Step 2: Convert to fraction form
    7,309.61/10,966.03 = 3,411.89/x
  3. Step 3: Cross multiply
    7,309.61x = 10,966.03 × 3,411.89
  4. Step 4: Simplify right side
    7,309.61x = 37,414,824.74
  5. Step 5: Solve for x
    x = 37,414,824.74/7,309.61
  6. Step 6: Final answer
    x = 5,118.58

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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.