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Finding the Fourth Proportional to 8,174.77, 12,253.64 and 3,788.62

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Solution

The fourth proportional to 8,174.77, 12,253.64 and 3,788.62 is: 5,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.77 : 12,253.64 = 3,788.62 : x
  2. Step 2: Convert to fraction form
    8,174.77/12,253.64 = 3,788.62/x
  3. Step 3: Cross multiply
    8,174.77x = 12,253.64 × 3,788.62
  4. Step 4: Simplify right side
    8,174.77x = 46,424,364.41
  5. Step 5: Solve for x
    x = 46,424,364.41/8,174.77
  6. Step 6: Final answer
    x = 5,678.98

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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.