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Finding the Fourth Proportional to 21,079, 31,602.06 and 10,553.20

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Solution

The fourth proportional to 21,079, 31,602.06 and 10,553.20 is: 15,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,079 : 31,602.06 = 10,553.20 : x
  2. Step 2: Convert to fraction form
    21,079/31,602.06 = 10,553.20/x
  3. Step 3: Cross multiply
    21,079x = 31,602.06 × 10,553.20
  4. Step 4: Simplify right side
    21,079x = 333,502,859.59
  5. Step 5: Solve for x
    x = 333,502,859.59/21,079
  6. Step 6: Final answer
    x = 15,821.57

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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.