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Finding the Fourth Proportional to 11,810.52, 16,283.39 and 9,678.20

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Solution

The fourth proportional to 11,810.52, 16,283.39 and 9,678.20 is: 13,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.52 : 16,283.39 = 9,678.20 : x
  2. Step 2: Convert to fraction form
    11,810.52/16,283.39 = 9,678.20/x
  3. Step 3: Cross multiply
    11,810.52x = 16,283.39 × 9,678.20
  4. Step 4: Simplify right side
    11,810.52x = 157,593,775.29
  5. Step 5: Solve for x
    x = 157,593,775.29/11,810.52
  6. Step 6: Final answer
    x = 13,343.51

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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.