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Finding the Fourth Proportional to 12,292.56, 16,963.02 and 7,578.36

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Solution

The fourth proportional to 12,292.56, 16,963.02 and 7,578.36 is: 10,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.56 : 16,963.02 = 7,578.36 : x
  2. Step 2: Convert to fraction form
    12,292.56/16,963.02 = 7,578.36/x
  3. Step 3: Cross multiply
    12,292.56x = 16,963.02 × 7,578.36
  4. Step 4: Simplify right side
    12,292.56x = 128,551,872.25
  5. Step 5: Solve for x
    x = 128,551,872.25/12,292.56
  6. Step 6: Final answer
    x = 10,457.70

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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.