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Finding the Fourth Proportional to 39,720.65, 54,814.32 and 21,816

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Solution

The fourth proportional to 39,720.65, 54,814.32 and 21,816 is: 30,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,720.65 : 54,814.32 = 21,816 : x
  2. Step 2: Convert to fraction form
    39,720.65/54,814.32 = 21,816/x
  3. Step 3: Cross multiply
    39,720.65x = 54,814.32 × 21,816
  4. Step 4: Simplify right side
    39,720.65x = 1,195,829,205.12
  5. Step 5: Solve for x
    x = 1,195,829,205.12/39,720.65
  6. Step 6: Final answer
    x = 30,105.99

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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.