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Finding the Fourth Proportional to 3,911.34, 5,866.69 and 1,720.08

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Solution

The fourth proportional to 3,911.34, 5,866.69 and 1,720.08 is: 2,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.34 : 5,866.69 = 1,720.08 : x
  2. Step 2: Convert to fraction form
    3,911.34/5,866.69 = 1,720.08/x
  3. Step 3: Cross multiply
    3,911.34x = 5,866.69 × 1,720.08
  4. Step 4: Simplify right side
    3,911.34x = 10,091,176.14
  5. Step 5: Solve for x
    x = 10,091,176.14/3,911.34
  6. Step 6: Final answer
    x = 2,579.98

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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.