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Finding the Fourth Proportional to 7,819.57, 11,732.06 and 4,894.39

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Solution

The fourth proportional to 7,819.57, 11,732.06 and 4,894.39 is: 7,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.57 : 11,732.06 = 4,894.39 : x
  2. Step 2: Convert to fraction form
    7,819.57/11,732.06 = 4,894.39/x
  3. Step 3: Cross multiply
    7,819.57x = 11,732.06 × 4,894.39
  4. Step 4: Simplify right side
    7,819.57x = 57,421,277.14
  5. Step 5: Solve for x
    x = 57,421,277.14/7,819.57
  6. Step 6: Final answer
    x = 7,343.28

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1.5x scale

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.