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Finding the Fourth Proportional to 5,311.17, 7,964.03 and 2,386.97

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Solution

The fourth proportional to 5,311.17, 7,964.03 and 2,386.97 is: 3,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.17 : 7,964.03 = 2,386.97 : x
  2. Step 2: Convert to fraction form
    5,311.17/7,964.03 = 2,386.97/x
  3. Step 3: Cross multiply
    5,311.17x = 7,964.03 × 2,386.97
  4. Step 4: Simplify right side
    5,311.17x = 19,009,848.93
  5. Step 5: Solve for x
    x = 19,009,848.93/5,311.17
  6. Step 6: Final answer
    x = 3,579.22

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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.