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Finding the Fourth Proportional to 12,326.16, 17,011.68 and 7,022.88

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Solution

The fourth proportional to 12,326.16, 17,011.68 and 7,022.88 is: 9,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.16 : 17,011.68 = 7,022.88 : x
  2. Step 2: Convert to fraction form
    12,326.16/17,011.68 = 7,022.88/x
  3. Step 3: Cross multiply
    12,326.16x = 17,011.68 × 7,022.88
  4. Step 4: Simplify right side
    12,326.16x = 119,470,987.24
  5. Step 5: Solve for x
    x = 119,470,987.24/12,326.16
  6. Step 6: Final answer
    x = 9,692.47

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