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Finding the Fourth Proportional to 3,968.40, 5,947.20 and 2,648.40

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Solution

The fourth proportional to 3,968.40, 5,947.20 and 2,648.40 is: 3,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.40 : 5,947.20 = 2,648.40 : x
  2. Step 2: Convert to fraction form
    3,968.40/5,947.20 = 2,648.40/x
  3. Step 3: Cross multiply
    3,968.40x = 5,947.20 × 2,648.40
  4. Step 4: Simplify right side
    3,968.40x = 15,750,564.48
  5. Step 5: Solve for x
    x = 15,750,564.48/3,968.40
  6. Step 6: Final answer
    x = 3,969.00

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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.