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Finding the Fourth Proportional to 21,072, 31,598.84 and 10,537.94

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Solution

The fourth proportional to 21,072, 31,598.84 and 10,537.94 is: 15,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072 : 31,598.84 = 10,537.94 : x
  2. Step 2: Convert to fraction form
    21,072/31,598.84 = 10,537.94/x
  3. Step 3: Cross multiply
    21,072x = 31,598.84 × 10,537.94
  4. Step 4: Simplify right side
    21,072x = 332,986,679.99
  5. Step 5: Solve for x
    x = 332,986,679.99/21,072
  6. Step 6: Final answer
    x = 15,802.33

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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.