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Finding the Fourth Proportional to 10,906, 15,050.30 and 5,938

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Solution

The fourth proportional to 10,906, 15,050.30 and 5,938 is: 8,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906 : 15,050.30 = 5,938 : x
  2. Step 2: Convert to fraction form
    10,906/15,050.30 = 5,938/x
  3. Step 3: Cross multiply
    10,906x = 15,050.30 × 5,938
  4. Step 4: Simplify right side
    10,906x = 89,368,681.40
  5. Step 5: Solve for x
    x = 89,368,681.40/10,906
  6. Step 6: Final answer
    x = 8,194.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.