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Finding the Fourth Proportional to 13,970.87, 20,956.28 and 9,829.39

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Solution

The fourth proportional to 13,970.87, 20,956.28 and 9,829.39 is: 14,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.87 : 20,956.28 = 9,829.39 : x
  2. Step 2: Convert to fraction form
    13,970.87/20,956.28 = 9,829.39/x
  3. Step 3: Cross multiply
    13,970.87x = 20,956.28 × 9,829.39
  4. Step 4: Simplify right side
    13,970.87x = 205,987,514.88
  5. Step 5: Solve for x
    x = 205,987,514.88/13,970.87
  6. Step 6: Final answer
    x = 14,744.07

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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.