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Finding the Fourth Proportional to 10,175, 14,040.72 and 6,195.68

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Solution

The fourth proportional to 10,175, 14,040.72 and 6,195.68 is: 8,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175 : 14,040.72 = 6,195.68 : x
  2. Step 2: Convert to fraction form
    10,175/14,040.72 = 6,195.68/x
  3. Step 3: Cross multiply
    10,175x = 14,040.72 × 6,195.68
  4. Step 4: Simplify right side
    10,175x = 86,991,808.09
  5. Step 5: Solve for x
    x = 86,991,808.09/10,175
  6. Step 6: Final answer
    x = 8,549.56

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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.