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Finding the Fourth Proportional to 21,236.81, 31,859.22 and 7,006.10

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Solution

The fourth proportional to 21,236.81, 31,859.22 and 7,006.10 is: 10,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,236.81 : 31,859.22 = 7,006.10 : x
  2. Step 2: Convert to fraction form
    21,236.81/31,859.22 = 7,006.10/x
  3. Step 3: Cross multiply
    21,236.81x = 31,859.22 × 7,006.10
  4. Step 4: Simplify right side
    21,236.81x = 223,208,721.95
  5. Step 5: Solve for x
    x = 223,208,721.95/21,236.81
  6. Step 6: Final answer
    x = 10,510.47

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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.