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Finding the Fourth Proportional to 12,991.13, 19,458.50 and 7,978.29

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Solution

The fourth proportional to 12,991.13, 19,458.50 and 7,978.29 is: 11,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.13 : 19,458.50 = 7,978.29 : x
  2. Step 2: Convert to fraction form
    12,991.13/19,458.50 = 7,978.29/x
  3. Step 3: Cross multiply
    12,991.13x = 19,458.50 × 7,978.29
  4. Step 4: Simplify right side
    12,991.13x = 155,245,555.97
  5. Step 5: Solve for x
    x = 155,245,555.97/12,991.13
  6. Step 6: Final answer
    x = 11,950.12

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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.