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Finding the Fourth Proportional to 3,438.33, 5,155.97 and 972.59

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Solution

The fourth proportional to 3,438.33, 5,155.97 and 972.59 is: 1,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.33 : 5,155.97 = 972.59 : x
  2. Step 2: Convert to fraction form
    3,438.33/5,155.97 = 972.59/x
  3. Step 3: Cross multiply
    3,438.33x = 5,155.97 × 972.59
  4. Step 4: Simplify right side
    3,438.33x = 5,014,614.22
  5. Step 5: Solve for x
    x = 5,014,614.22/3,438.33
  6. Step 6: Final answer
    x = 1,458.44

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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.