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Finding the Fourth Proportional to 5,775.56, 7,970.34 and 3,257.79

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Solution

The fourth proportional to 5,775.56, 7,970.34 and 3,257.79 is: 4,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.56 : 7,970.34 = 3,257.79 : x
  2. Step 2: Convert to fraction form
    5,775.56/7,970.34 = 3,257.79/x
  3. Step 3: Cross multiply
    5,775.56x = 7,970.34 × 3,257.79
  4. Step 4: Simplify right side
    5,775.56x = 25,965,693.95
  5. Step 5: Solve for x
    x = 25,965,693.95/5,775.56
  6. Step 6: Final answer
    x = 4,495.79

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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.