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Finding the Fourth Proportional to 15,812.16, 21,819.92 and 9,843.68

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Solution

The fourth proportional to 15,812.16, 21,819.92 and 9,843.68 is: 13,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.16 : 21,819.92 = 9,843.68 : x
  2. Step 2: Convert to fraction form
    15,812.16/21,819.92 = 9,843.68/x
  3. Step 3: Cross multiply
    15,812.16x = 21,819.92 × 9,843.68
  4. Step 4: Simplify right side
    15,812.16x = 214,788,310.11
  5. Step 5: Solve for x
    x = 214,788,310.11/15,812.16
  6. Step 6: Final answer
    x = 13,583.74

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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.