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Finding the Fourth Proportional to 21,048, 31,568.49 and 10,506.84

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Solution

The fourth proportional to 21,048, 31,568.49 and 10,506.84 is: 15,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048 : 31,568.49 = 10,506.84 : x
  2. Step 2: Convert to fraction form
    21,048/31,568.49 = 10,506.84/x
  3. Step 3: Cross multiply
    21,048x = 31,568.49 × 10,506.84
  4. Step 4: Simplify right side
    21,048x = 331,685,073.47
  5. Step 5: Solve for x
    x = 331,685,073.47/21,048
  6. Step 6: Final answer
    x = 15,758.51

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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.