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Finding the Fourth Proportional to 4,923.86, 7,387.00 and 1,636.97

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Solution

The fourth proportional to 4,923.86, 7,387.00 and 1,636.97 is: 2,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.86 : 7,387.00 = 1,636.97 : x
  2. Step 2: Convert to fraction form
    4,923.86/7,387.00 = 1,636.97/x
  3. Step 3: Cross multiply
    4,923.86x = 7,387.00 × 1,636.97
  4. Step 4: Simplify right side
    4,923.86x = 12,092,311.77
  5. Step 5: Solve for x
    x = 12,092,311.77/4,923.86
  6. Step 6: Final answer
    x = 2,455.86

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1.5x scale

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.