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Finding the Fourth Proportional to 4,777.80, 7,164.14 and 1,489.56

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Solution

The fourth proportional to 4,777.80, 7,164.14 and 1,489.56 is: 2,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.80 : 7,164.14 = 1,489.56 : x
  2. Step 2: Convert to fraction form
    4,777.80/7,164.14 = 1,489.56/x
  3. Step 3: Cross multiply
    4,777.80x = 7,164.14 × 1,489.56
  4. Step 4: Simplify right side
    4,777.80x = 10,671,408.93
  5. Step 5: Solve for x
    x = 10,671,408.93/4,777.80
  6. Step 6: Final answer
    x = 2,233.54

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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.