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Finding the Fourth Proportional to 13,782.71, 20,680.90 and 5,462.54

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Solution

The fourth proportional to 13,782.71, 20,680.90 and 5,462.54 is: 8,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.71 : 20,680.90 = 5,462.54 : x
  2. Step 2: Convert to fraction form
    13,782.71/20,680.90 = 5,462.54/x
  3. Step 3: Cross multiply
    13,782.71x = 20,680.90 × 5,462.54
  4. Step 4: Simplify right side
    13,782.71x = 112,970,281.53
  5. Step 5: Solve for x
    x = 112,970,281.53/13,782.71
  6. Step 6: Final answer
    x = 8,196.52

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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.