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Finding the Fourth Proportional to 10,152.81, 13,980.33 and 9,560.97

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Solution

The fourth proportional to 10,152.81, 13,980.33 and 9,560.97 is: 13,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.81 : 13,980.33 = 9,560.97 : x
  2. Step 2: Convert to fraction form
    10,152.81/13,980.33 = 9,560.97/x
  3. Step 3: Cross multiply
    10,152.81x = 13,980.33 × 9,560.97
  4. Step 4: Simplify right side
    10,152.81x = 133,665,515.72
  5. Step 5: Solve for x
    x = 133,665,515.72/10,152.81
  6. Step 6: Final answer
    x = 13,165.37

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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.