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Finding the Fourth Proportional to 3,271.77, 4,909.10 and 1,866.13

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Solution

The fourth proportional to 3,271.77, 4,909.10 and 1,866.13 is: 2,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.77 : 4,909.10 = 1,866.13 : x
  2. Step 2: Convert to fraction form
    3,271.77/4,909.10 = 1,866.13/x
  3. Step 3: Cross multiply
    3,271.77x = 4,909.10 × 1,866.13
  4. Step 4: Simplify right side
    3,271.77x = 9,161,018.78
  5. Step 5: Solve for x
    x = 9,161,018.78/3,271.77
  6. Step 6: Final answer
    x = 2,800.02

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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.