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Finding the Fourth Proportional to 3,910.14, 5,865.83 and 1,312.47

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Solution

The fourth proportional to 3,910.14, 5,865.83 and 1,312.47 is: 1,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.14 : 5,865.83 = 1,312.47 : x
  2. Step 2: Convert to fraction form
    3,910.14/5,865.83 = 1,312.47/x
  3. Step 3: Cross multiply
    3,910.14x = 5,865.83 × 1,312.47
  4. Step 4: Simplify right side
    3,910.14x = 7,698,719.34
  5. Step 5: Solve for x
    x = 7,698,719.34/3,910.14
  6. Step 6: Final answer
    x = 1,968.91

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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.