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Finding the Fourth Proportional to 35,790, 53,684.66 and 21,753.90

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Solution

The fourth proportional to 35,790, 53,684.66 and 21,753.90 is: 32,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,790 : 53,684.66 = 21,753.90 : x
  2. Step 2: Convert to fraction form
    35,790/53,684.66 = 21,753.90/x
  3. Step 3: Cross multiply
    35,790x = 53,684.66 × 21,753.90
  4. Step 4: Simplify right side
    35,790x = 1,167,850,725.17
  5. Step 5: Solve for x
    x = 1,167,850,725.17/35,790
  6. Step 6: Final answer
    x = 32,630.64

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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.