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Finding the Fourth Proportional to 5,778.40, 7,972.80 and 3,421.12

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Solution

The fourth proportional to 5,778.40, 7,972.80 and 3,421.12 is: 4,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.40 : 7,972.80 = 3,421.12 : x
  2. Step 2: Convert to fraction form
    5,778.40/7,972.80 = 3,421.12/x
  3. Step 3: Cross multiply
    5,778.40x = 7,972.80 × 3,421.12
  4. Step 4: Simplify right side
    5,778.40x = 27,275,905.54
  5. Step 5: Solve for x
    x = 27,275,905.54/5,778.40
  6. Step 6: Final answer
    x = 4,720.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.