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Finding the Fourth Proportional to 7,841.77, 10,819.78 and 4,438.82

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Solution

The fourth proportional to 7,841.77, 10,819.78 and 4,438.82 is: 6,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.77 : 10,819.78 = 4,438.82 : x
  2. Step 2: Convert to fraction form
    7,841.77/10,819.78 = 4,438.82/x
  3. Step 3: Cross multiply
    7,841.77x = 10,819.78 × 4,438.82
  4. Step 4: Simplify right side
    7,841.77x = 48,027,071.81
  5. Step 5: Solve for x
    x = 48,027,071.81/7,841.77
  6. Step 6: Final answer
    x = 6,124.52

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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.