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Finding the Fourth Proportional to 3,571.86, 5,357.93 and 974.79

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Solution

The fourth proportional to 3,571.86, 5,357.93 and 974.79 is: 1,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.86 : 5,357.93 = 974.79 : x
  2. Step 2: Convert to fraction form
    3,571.86/5,357.93 = 974.79/x
  3. Step 3: Cross multiply
    3,571.86x = 5,357.93 × 974.79
  4. Step 4: Simplify right side
    3,571.86x = 5,222,856.58
  5. Step 5: Solve for x
    x = 5,222,856.58/3,571.86
  6. Step 6: Final answer
    x = 1,462.22

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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.