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Finding the Fourth Proportional to 5,736.86, 8,605.30 and 3,138.38

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Solution

The fourth proportional to 5,736.86, 8,605.30 and 3,138.38 is: 4,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.86 : 8,605.30 = 3,138.38 : x
  2. Step 2: Convert to fraction form
    5,736.86/8,605.30 = 3,138.38/x
  3. Step 3: Cross multiply
    5,736.86x = 8,605.30 × 3,138.38
  4. Step 4: Simplify right side
    5,736.86x = 27,006,701.41
  5. Step 5: Solve for x
    x = 27,006,701.41/5,736.86
  6. Step 6: Final answer
    x = 4,707.58

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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.