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Finding the Fourth Proportional to 7,900.74, 11,842.62 and 4,199.26

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Solution

The fourth proportional to 7,900.74, 11,842.62 and 4,199.26 is: 6,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.74 : 11,842.62 = 4,199.26 : x
  2. Step 2: Convert to fraction form
    7,900.74/11,842.62 = 4,199.26/x
  3. Step 3: Cross multiply
    7,900.74x = 11,842.62 × 4,199.26
  4. Step 4: Simplify right side
    7,900.74x = 49,730,240.46
  5. Step 5: Solve for x
    x = 49,730,240.46/7,900.74
  6. Step 6: Final answer
    x = 6,294.38

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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.