Home / 10,205.42-15,278.39-7,584.53

Finding the Fourth Proportional to 10,205.42, 15,278.39 and 7,584.53

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Solution

The fourth proportional to 10,205.42, 15,278.39 and 7,584.53 is: 11,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.42 : 15,278.39 = 7,584.53 : x
  2. Step 2: Convert to fraction form
    10,205.42/15,278.39 = 7,584.53/x
  3. Step 3: Cross multiply
    10,205.42x = 15,278.39 × 7,584.53
  4. Step 4: Simplify right side
    10,205.42x = 115,879,292.99
  5. Step 5: Solve for x
    x = 115,879,292.99/10,205.42
  6. Step 6: Final answer
    x = 11,354.69

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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.