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Finding the Fourth Proportional to 5,985.14, 8,959.22 and 3,900.66

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Solution

The fourth proportional to 5,985.14, 8,959.22 and 3,900.66 is: 5,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.14 : 8,959.22 = 3,900.66 : x
  2. Step 2: Convert to fraction form
    5,985.14/8,959.22 = 3,900.66/x
  3. Step 3: Cross multiply
    5,985.14x = 8,959.22 × 3,900.66
  4. Step 4: Simplify right side
    5,985.14x = 34,946,871.09
  5. Step 5: Solve for x
    x = 34,946,871.09/5,985.14
  6. Step 6: Final answer
    x = 5,838.94

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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.