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Finding the Fourth Proportional to 5,642.56, 7,786.20 and 3,124.62

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Solution

The fourth proportional to 5,642.56, 7,786.20 and 3,124.62 is: 4,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.56 : 7,786.20 = 3,124.62 : x
  2. Step 2: Convert to fraction form
    5,642.56/7,786.20 = 3,124.62/x
  3. Step 3: Cross multiply
    5,642.56x = 7,786.20 × 3,124.62
  4. Step 4: Simplify right side
    5,642.56x = 24,328,916.24
  5. Step 5: Solve for x
    x = 24,328,916.24/5,642.56
  6. Step 6: Final answer
    x = 4,311.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.