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Finding the Fourth Proportional to 5,765.78, 8,644.27 and 4,775.56

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Solution

The fourth proportional to 5,765.78, 8,644.27 and 4,775.56 is: 7,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.78 : 8,644.27 = 4,775.56 : x
  2. Step 2: Convert to fraction form
    5,765.78/8,644.27 = 4,775.56/x
  3. Step 3: Cross multiply
    5,765.78x = 8,644.27 × 4,775.56
  4. Step 4: Simplify right side
    5,765.78x = 41,281,205.45
  5. Step 5: Solve for x
    x = 41,281,205.45/5,765.78
  6. Step 6: Final answer
    x = 7,159.69

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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.