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Finding the Fourth Proportional to 10,389.78, 14,344.02 and 7,033.14

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Solution

The fourth proportional to 10,389.78, 14,344.02 and 7,033.14 is: 9,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.78 : 14,344.02 = 7,033.14 : x
  2. Step 2: Convert to fraction form
    10,389.78/14,344.02 = 7,033.14/x
  3. Step 3: Cross multiply
    10,389.78x = 14,344.02 × 7,033.14
  4. Step 4: Simplify right side
    10,389.78x = 100,883,500.82
  5. Step 5: Solve for x
    x = 100,883,500.82/10,389.78
  6. Step 6: Final answer
    x = 9,709.88

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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.