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Finding the Fourth Proportional to 10,174.38, 14,039.88 and 6,195

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Solution

The fourth proportional to 10,174.38, 14,039.88 and 6,195 is: 8,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.38 : 14,039.88 = 6,195 : x
  2. Step 2: Convert to fraction form
    10,174.38/14,039.88 = 6,195/x
  3. Step 3: Cross multiply
    10,174.38x = 14,039.88 × 6,195
  4. Step 4: Simplify right side
    10,174.38x = 86,977,056.60
  5. Step 5: Solve for x
    x = 86,977,056.60/10,174.38
  6. Step 6: Final answer
    x = 8,548.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.