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Finding the Fourth Proportional to 9,971.81, 14,958.17 and 4,129.79

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Solution

The fourth proportional to 9,971.81, 14,958.17 and 4,129.79 is: 6,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.81 : 14,958.17 = 4,129.79 : x
  2. Step 2: Convert to fraction form
    9,971.81/14,958.17 = 4,129.79/x
  3. Step 3: Cross multiply
    9,971.81x = 14,958.17 × 4,129.79
  4. Step 4: Simplify right side
    9,971.81x = 61,774,020.93
  5. Step 5: Solve for x
    x = 61,774,020.93/9,971.81
  6. Step 6: Final answer
    x = 6,194.87

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1.5x scale

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.