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Finding the Fourth Proportional to 3,259.80, 4,866.03 and 3,019.50

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Solution

The fourth proportional to 3,259.80, 4,866.03 and 3,019.50 is: 4,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.80 : 4,866.03 = 3,019.50 : x
  2. Step 2: Convert to fraction form
    3,259.80/4,866.03 = 3,019.50/x
  3. Step 3: Cross multiply
    3,259.80x = 4,866.03 × 3,019.50
  4. Step 4: Simplify right side
    3,259.80x = 14,692,977.59
  5. Step 5: Solve for x
    x = 14,692,977.59/3,259.80
  6. Step 6: Final answer
    x = 4,507.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.