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Finding the Fourth Proportional to 7,978.95, 11,950.20 and 7,796.70

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Solution

The fourth proportional to 7,978.95, 11,950.20 and 7,796.70 is: 11,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.95 : 11,950.20 = 7,796.70 : x
  2. Step 2: Convert to fraction form
    7,978.95/11,950.20 = 7,796.70/x
  3. Step 3: Cross multiply
    7,978.95x = 11,950.20 × 7,796.70
  4. Step 4: Simplify right side
    7,978.95x = 93,172,124.34
  5. Step 5: Solve for x
    x = 93,172,124.34/7,978.95
  6. Step 6: Final answer
    x = 11,677.24

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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.