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Finding the Fourth Proportional to 29,792.71, 41,106.49 and 21,821.10

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Solution

The fourth proportional to 29,792.71, 41,106.49 and 21,821.10 is: 30,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,792.71 : 41,106.49 = 21,821.10 : x
  2. Step 2: Convert to fraction form
    29,792.71/41,106.49 = 21,821.10/x
  3. Step 3: Cross multiply
    29,792.71x = 41,106.49 × 21,821.10
  4. Step 4: Simplify right side
    29,792.71x = 896,988,620.24
  5. Step 5: Solve for x
    x = 896,988,620.24/29,792.71
  6. Step 6: Final answer
    x = 30,107.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.