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Finding the Fourth Proportional to 3,407.45, 5,109.71 and 1,559.72

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Solution

The fourth proportional to 3,407.45, 5,109.71 and 1,559.72 is: 2,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.45 : 5,109.71 = 1,559.72 : x
  2. Step 2: Convert to fraction form
    3,407.45/5,109.71 = 1,559.72/x
  3. Step 3: Cross multiply
    3,407.45x = 5,109.71 × 1,559.72
  4. Step 4: Simplify right side
    3,407.45x = 7,969,721.86
  5. Step 5: Solve for x
    x = 7,969,721.86/3,407.45
  6. Step 6: Final answer
    x = 2,338.91

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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.