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Finding the Fourth Proportional to 4,909.86, 7,357.79 and 3,654.77

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Solution

The fourth proportional to 4,909.86, 7,357.79 and 3,654.77 is: 5,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.86 : 7,357.79 = 3,654.77 : x
  2. Step 2: Convert to fraction form
    4,909.86/7,357.79 = 3,654.77/x
  3. Step 3: Cross multiply
    4,909.86x = 7,357.79 × 3,654.77
  4. Step 4: Simplify right side
    4,909.86x = 26,891,002.51
  5. Step 5: Solve for x
    x = 26,891,002.51/4,909.86
  6. Step 6: Final answer
    x = 5,476.94

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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.