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Finding the Fourth Proportional to 10,903.38, 16,351.38 and 7,618.02

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Solution

The fourth proportional to 10,903.38, 16,351.38 and 7,618.02 is: 11,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.38 : 16,351.38 = 7,618.02 : x
  2. Step 2: Convert to fraction form
    10,903.38/16,351.38 = 7,618.02/x
  3. Step 3: Cross multiply
    10,903.38x = 16,351.38 × 7,618.02
  4. Step 4: Simplify right side
    10,903.38x = 124,565,139.87
  5. Step 5: Solve for x
    x = 124,565,139.87/10,903.38
  6. Step 6: Final answer
    x = 11,424.45

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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.