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Finding the Fourth Proportional to 5,228.07, 7,840.07 and 1,940.41

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Solution

The fourth proportional to 5,228.07, 7,840.07 and 1,940.41 is: 2,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.07 : 7,840.07 = 1,940.41 : x
  2. Step 2: Convert to fraction form
    5,228.07/7,840.07 = 1,940.41/x
  3. Step 3: Cross multiply
    5,228.07x = 7,840.07 × 1,940.41
  4. Step 4: Simplify right side
    5,228.07x = 15,212,950.23
  5. Step 5: Solve for x
    x = 15,212,950.23/5,228.07
  6. Step 6: Final answer
    x = 2,909.86

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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.