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Finding the Fourth Proportional to 5,774.40, 7,968.80 and 3,256.40

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Solution

The fourth proportional to 5,774.40, 7,968.80 and 3,256.40 is: 4,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.40 : 7,968.80 = 3,256.40 : x
  2. Step 2: Convert to fraction form
    5,774.40/7,968.80 = 3,256.40/x
  3. Step 3: Cross multiply
    5,774.40x = 7,968.80 × 3,256.40
  4. Step 4: Simplify right side
    5,774.40x = 25,949,600.32
  5. Step 5: Solve for x
    x = 25,949,600.32/5,774.40
  6. Step 6: Final answer
    x = 4,493.90

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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.