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Finding the Fourth Proportional to 5,283.36, 7,930.16 and 2,819.91

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Solution

The fourth proportional to 5,283.36, 7,930.16 and 2,819.91 is: 4,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.36 : 7,930.16 = 2,819.91 : x
  2. Step 2: Convert to fraction form
    5,283.36/7,930.16 = 2,819.91/x
  3. Step 3: Cross multiply
    5,283.36x = 7,930.16 × 2,819.91
  4. Step 4: Simplify right side
    5,283.36x = 22,362,337.49
  5. Step 5: Solve for x
    x = 22,362,337.49/5,283.36
  6. Step 6: Final answer
    x = 4,232.60

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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.