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Finding the Fourth Proportional to 10,340, 15,490.33 and 5,900.75

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Solution

The fourth proportional to 10,340, 15,490.33 and 5,900.75 is: 8,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340 : 15,490.33 = 5,900.75 : x
  2. Step 2: Convert to fraction form
    10,340/15,490.33 = 5,900.75/x
  3. Step 3: Cross multiply
    10,340x = 15,490.33 × 5,900.75
  4. Step 4: Simplify right side
    10,340x = 91,404,564.75
  5. Step 5: Solve for x
    x = 91,404,564.75/10,340
  6. Step 6: Final answer
    x = 8,839.90

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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.