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Finding the Fourth Proportional to 12,991.46, 17,928.34 and 7,023.24

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Solution

The fourth proportional to 12,991.46, 17,928.34 and 7,023.24 is: 9,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.46 : 17,928.34 = 7,023.24 : x
  2. Step 2: Convert to fraction form
    12,991.46/17,928.34 = 7,023.24/x
  3. Step 3: Cross multiply
    12,991.46x = 17,928.34 × 7,023.24
  4. Step 4: Simplify right side
    12,991.46x = 125,915,017.06
  5. Step 5: Solve for x
    x = 125,915,017.06/12,991.46
  6. Step 6: Final answer
    x = 9,692.14

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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.