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Finding the Fourth Proportional to 12,991.84, 17,924.51 and 7,950.80

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Solution

The fourth proportional to 12,991.84, 17,924.51 and 7,950.80 is: 10,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.84 : 17,924.51 = 7,950.80 : x
  2. Step 2: Convert to fraction form
    12,991.84/17,924.51 = 7,950.80/x
  3. Step 3: Cross multiply
    12,991.84x = 17,924.51 × 7,950.80
  4. Step 4: Simplify right side
    12,991.84x = 142,514,194.11
  5. Step 5: Solve for x
    x = 142,514,194.11/12,991.84
  6. Step 6: Final answer
    x = 10,969.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.