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Finding the Fourth Proportional to 5,777.87, 7,977.89 and 4,788.86

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Solution

The fourth proportional to 5,777.87, 7,977.89 and 4,788.86 is: 6,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.87 : 7,977.89 = 4,788.86 : x
  2. Step 2: Convert to fraction form
    5,777.87/7,977.89 = 4,788.86/x
  3. Step 3: Cross multiply
    5,777.87x = 7,977.89 × 4,788.86
  4. Step 4: Simplify right side
    5,777.87x = 38,204,970.39
  5. Step 5: Solve for x
    x = 38,204,970.39/5,777.87
  6. Step 6: Final answer
    x = 6,612.30

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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.