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Finding the Fourth Proportional to 12,412.44, 17,107.20 and 10,964.16

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Solution

The fourth proportional to 12,412.44, 17,107.20 and 10,964.16 is: 15,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.44 : 17,107.20 = 10,964.16 : x
  2. Step 2: Convert to fraction form
    12,412.44/17,107.20 = 10,964.16/x
  3. Step 3: Cross multiply
    12,412.44x = 17,107.20 × 10,964.16
  4. Step 4: Simplify right side
    12,412.44x = 187,566,077.95
  5. Step 5: Solve for x
    x = 187,566,077.95/12,412.44
  6. Step 6: Final answer
    x = 15,111.14

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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.