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Finding the Fourth Proportional to 5,642.49, 7,786.53 and 3,124.55

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Solution

The fourth proportional to 5,642.49, 7,786.53 and 3,124.55 is: 4,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.49 : 7,786.53 = 3,124.55 : x
  2. Step 2: Convert to fraction form
    5,642.49/7,786.53 = 3,124.55/x
  3. Step 3: Cross multiply
    5,642.49x = 7,786.53 × 3,124.55
  4. Step 4: Simplify right side
    5,642.49x = 24,329,363.38
  5. Step 5: Solve for x
    x = 24,329,363.38/5,642.49
  6. Step 6: Final answer
    x = 4,311.81

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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.