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Finding the Fourth Proportional to 11,616.40, 17,424.60 and 10,158.40

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Solution

The fourth proportional to 11,616.40, 17,424.60 and 10,158.40 is: 15,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.40 : 17,424.60 = 10,158.40 : x
  2. Step 2: Convert to fraction form
    11,616.40/17,424.60 = 10,158.40/x
  3. Step 3: Cross multiply
    11,616.40x = 17,424.60 × 10,158.40
  4. Step 4: Simplify right side
    11,616.40x = 177,006,056.64
  5. Step 5: Solve for x
    x = 177,006,056.64/11,616.40
  6. Step 6: Final answer
    x = 15,237.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.