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Finding the Fourth Proportional to 35,864, 53,795.76 and 9,209.92

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Solution

The fourth proportional to 35,864, 53,795.76 and 9,209.92 is: 13,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,864 : 53,795.76 = 9,209.92 : x
  2. Step 2: Convert to fraction form
    35,864/53,795.76 = 9,209.92/x
  3. Step 3: Cross multiply
    35,864x = 53,795.76 × 9,209.92
  4. Step 4: Simplify right side
    35,864x = 495,454,645.94
  5. Step 5: Solve for x
    x = 495,454,645.94/35,864
  6. Step 6: Final answer
    x = 13,814.82

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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.