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Finding the Fourth Proportional to 5,271.66, 7,901.41 and 1,982.66

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Solution

The fourth proportional to 5,271.66, 7,901.41 and 1,982.66 is: 2,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.66 : 7,901.41 = 1,982.66 : x
  2. Step 2: Convert to fraction form
    5,271.66/7,901.41 = 1,982.66/x
  3. Step 3: Cross multiply
    5,271.66x = 7,901.41 × 1,982.66
  4. Step 4: Simplify right side
    5,271.66x = 15,665,809.55
  5. Step 5: Solve for x
    x = 15,665,809.55/5,271.66
  6. Step 6: Final answer
    x = 2,971.70

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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.