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Finding the Fourth Proportional to 12,991.44, 17,928.36 and 7,686.12

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Solution

The fourth proportional to 12,991.44, 17,928.36 and 7,686.12 is: 10,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.44 : 17,928.36 = 7,686.12 : x
  2. Step 2: Convert to fraction form
    12,991.44/17,928.36 = 7,686.12/x
  3. Step 3: Cross multiply
    12,991.44x = 17,928.36 × 7,686.12
  4. Step 4: Simplify right side
    12,991.44x = 137,799,526.36
  5. Step 5: Solve for x
    x = 137,799,526.36/12,991.44
  6. Step 6: Final answer
    x = 10,606.95

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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.