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Finding the Fourth Proportional to 10,665.54, 15,976.44 and 7,144.74

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Solution

The fourth proportional to 10,665.54, 15,976.44 and 7,144.74 is: 10,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.54 : 15,976.44 = 7,144.74 : x
  2. Step 2: Convert to fraction form
    10,665.54/15,976.44 = 7,144.74/x
  3. Step 3: Cross multiply
    10,665.54x = 15,976.44 × 7,144.74
  4. Step 4: Simplify right side
    10,665.54x = 114,147,509.93
  5. Step 5: Solve for x
    x = 114,147,509.93/10,665.54
  6. Step 6: Final answer
    x = 10,702.46

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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.