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Finding the Fourth Proportional to 15,819.96, 21,831 and 8,746.32

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Solution

The fourth proportional to 15,819.96, 21,831 and 8,746.32 is: 12,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.96 : 21,831 = 8,746.32 : x
  2. Step 2: Convert to fraction form
    15,819.96/21,831 = 8,746.32/x
  3. Step 3: Cross multiply
    15,819.96x = 21,831 × 8,746.32
  4. Step 4: Simplify right side
    15,819.96x = 190,940,911.92
  5. Step 5: Solve for x
    x = 190,940,911.92/15,819.96
  6. Step 6: Final answer
    x = 12,069.62

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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.