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Finding the Fourth Proportional to 12,192.56, 16,810.40 and 9,952.16

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Solution

The fourth proportional to 12,192.56, 16,810.40 and 9,952.16 is: 13,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.56 : 16,810.40 = 9,952.16 : x
  2. Step 2: Convert to fraction form
    12,192.56/16,810.40 = 9,952.16/x
  3. Step 3: Cross multiply
    12,192.56x = 16,810.40 × 9,952.16
  4. Step 4: Simplify right side
    12,192.56x = 167,299,790.46
  5. Step 5: Solve for x
    x = 167,299,790.46/12,192.56
  6. Step 6: Final answer
    x = 13,721.47

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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.