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Finding the Fourth Proportional to 12,610.28, 18,908.94 and 5,681

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Solution

The fourth proportional to 12,610.28, 18,908.94 and 5,681 is: 8,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.28 : 18,908.94 = 5,681 : x
  2. Step 2: Convert to fraction form
    12,610.28/18,908.94 = 5,681/x
  3. Step 3: Cross multiply
    12,610.28x = 18,908.94 × 5,681
  4. Step 4: Simplify right side
    12,610.28x = 107,421,688.14
  5. Step 5: Solve for x
    x = 107,421,688.14/12,610.28
  6. Step 6: Final answer
    x = 8,518.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.