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Finding the Fourth Proportional to 7,990.47, 11,978.15 and 3,307.57

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Solution

The fourth proportional to 7,990.47, 11,978.15 and 3,307.57 is: 4,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990.47 : 11,978.15 = 3,307.57 : x
  2. Step 2: Convert to fraction form
    7,990.47/11,978.15 = 3,307.57/x
  3. Step 3: Cross multiply
    7,990.47x = 11,978.15 × 3,307.57
  4. Step 4: Simplify right side
    7,990.47x = 39,618,523.11
  5. Step 5: Solve for x
    x = 39,618,523.11/7,990.47
  6. Step 6: Final answer
    x = 4,958.22

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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.