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Finding the Fourth Proportional to 9,782.80, 14,664.60 and 5,105.20

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Solution

The fourth proportional to 9,782.80, 14,664.60 and 5,105.20 is: 7,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.80 : 14,664.60 = 5,105.20 : x
  2. Step 2: Convert to fraction form
    9,782.80/14,664.60 = 5,105.20/x
  3. Step 3: Cross multiply
    9,782.80x = 14,664.60 × 5,105.20
  4. Step 4: Simplify right side
    9,782.80x = 74,865,715.92
  5. Step 5: Solve for x
    x = 74,865,715.92/9,782.80
  6. Step 6: Final answer
    x = 7,652.79

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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.