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Finding the Fourth Proportional to 21,016.65, 31,527.81 and 6,971.79

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Solution

The fourth proportional to 21,016.65, 31,527.81 and 6,971.79 is: 10,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016.65 : 31,527.81 = 6,971.79 : x
  2. Step 2: Convert to fraction form
    21,016.65/31,527.81 = 6,971.79/x
  3. Step 3: Cross multiply
    21,016.65x = 31,527.81 × 6,971.79
  4. Step 4: Simplify right side
    21,016.65x = 219,805,270.48
  5. Step 5: Solve for x
    x = 219,805,270.48/21,016.65
  6. Step 6: Final answer
    x = 10,458.63

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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.