Home / 5,209.74-7,814.34-1,922.56

Finding the Fourth Proportional to 5,209.74, 7,814.34 and 1,922.56

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Solution

The fourth proportional to 5,209.74, 7,814.34 and 1,922.56 is: 2,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.74 : 7,814.34 = 1,922.56 : x
  2. Step 2: Convert to fraction form
    5,209.74/7,814.34 = 1,922.56/x
  3. Step 3: Cross multiply
    5,209.74x = 7,814.34 × 1,922.56
  4. Step 4: Simplify right side
    5,209.74x = 15,023,537.51
  5. Step 5: Solve for x
    x = 15,023,537.51/5,209.74
  6. Step 6: Final answer
    x = 2,883.74

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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.