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Finding the Fourth Proportional to 4,147.77, 5,719.53 and 3,203.71

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Solution

The fourth proportional to 4,147.77, 5,719.53 and 3,203.71 is: 4,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.77 : 5,719.53 = 3,203.71 : x
  2. Step 2: Convert to fraction form
    4,147.77/5,719.53 = 3,203.71/x
  3. Step 3: Cross multiply
    4,147.77x = 5,719.53 × 3,203.71
  4. Step 4: Simplify right side
    4,147.77x = 18,323,715.46
  5. Step 5: Solve for x
    x = 18,323,715.46/4,147.77
  6. Step 6: Final answer
    x = 4,417.73

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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.