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Finding the Fourth Proportional to 35,854, 53,780.80 and 9,199.88

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Solution

The fourth proportional to 35,854, 53,780.80 and 9,199.88 is: 13,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,854 : 53,780.80 = 9,199.88 : x
  2. Step 2: Convert to fraction form
    35,854/53,780.80 = 9,199.88/x
  3. Step 3: Cross multiply
    35,854x = 53,780.80 × 9,199.88
  4. Step 4: Simplify right side
    35,854x = 494,776,906.30
  5. Step 5: Solve for x
    x = 494,776,906.30/35,854
  6. Step 6: Final answer
    x = 13,799.77

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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.