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Finding the Fourth Proportional to 5,777.59, 7,975.12 and 3,419.72

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Solution

The fourth proportional to 5,777.59, 7,975.12 and 3,419.72 is: 4,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.59 : 7,975.12 = 3,419.72 : x
  2. Step 2: Convert to fraction form
    5,777.59/7,975.12 = 3,419.72/x
  3. Step 3: Cross multiply
    5,777.59x = 7,975.12 × 3,419.72
  4. Step 4: Simplify right side
    5,777.59x = 27,272,677.37
  5. Step 5: Solve for x
    x = 27,272,677.37/5,777.59
  6. Step 6: Final answer
    x = 4,720.42

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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.