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Finding the Fourth Proportional to 19,358.88, 29,014.60 and 13,782

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Solution

The fourth proportional to 19,358.88, 29,014.60 and 13,782 is: 20,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,358.88 : 29,014.60 = 13,782 : x
  2. Step 2: Convert to fraction form
    19,358.88/29,014.60 = 13,782/x
  3. Step 3: Cross multiply
    19,358.88x = 29,014.60 × 13,782
  4. Step 4: Simplify right side
    19,358.88x = 399,879,217.20
  5. Step 5: Solve for x
    x = 399,879,217.20/19,358.88
  6. Step 6: Final answer
    x = 20,656.11

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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.