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Finding the Fourth Proportional to 10,144.61, 13,996.50 and 5,894.84

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Solution

The fourth proportional to 10,144.61, 13,996.50 and 5,894.84 is: 8,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.61 : 13,996.50 = 5,894.84 : x
  2. Step 2: Convert to fraction form
    10,144.61/13,996.50 = 5,894.84/x
  3. Step 3: Cross multiply
    10,144.61x = 13,996.50 × 5,894.84
  4. Step 4: Simplify right side
    10,144.61x = 82,507,140.95
  5. Step 5: Solve for x
    x = 82,507,140.95/10,144.61
  6. Step 6: Final answer
    x = 8,133.10

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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.