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Finding the Fourth Proportional to 3,300.40, 4,943.40 and 2,564.20

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Solution

The fourth proportional to 3,300.40, 4,943.40 and 2,564.20 is: 3,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.40 : 4,943.40 = 2,564.20 : x
  2. Step 2: Convert to fraction form
    3,300.40/4,943.40 = 2,564.20/x
  3. Step 3: Cross multiply
    3,300.40x = 4,943.40 × 2,564.20
  4. Step 4: Simplify right side
    3,300.40x = 12,675,866.28
  5. Step 5: Solve for x
    x = 12,675,866.28/3,300.40
  6. Step 6: Final answer
    x = 3,840.71

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1.5x scale

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.