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Finding the Fourth Proportional to 17,772, 26,660.16 and 5,460

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Solution

The fourth proportional to 17,772, 26,660.16 and 5,460 is: 8,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772 : 26,660.16 = 5,460 : x
  2. Step 2: Convert to fraction form
    17,772/26,660.16 = 5,460/x
  3. Step 3: Cross multiply
    17,772x = 26,660.16 × 5,460
  4. Step 4: Simplify right side
    17,772x = 145,564,473.60
  5. Step 5: Solve for x
    x = 145,564,473.60/17,772
  6. Step 6: Final answer
    x = 8,190.66

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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.