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Finding the Fourth Proportional to 10,342.44, 15,510.78 and 4,185

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Solution

The fourth proportional to 10,342.44, 15,510.78 and 4,185 is: 6,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.44 : 15,510.78 = 4,185 : x
  2. Step 2: Convert to fraction form
    10,342.44/15,510.78 = 4,185/x
  3. Step 3: Cross multiply
    10,342.44x = 15,510.78 × 4,185
  4. Step 4: Simplify right side
    10,342.44x = 64,912,614.30
  5. Step 5: Solve for x
    x = 64,912,614.30/10,342.44
  6. Step 6: Final answer
    x = 6,276.33

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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.