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Finding the Fourth Proportional to 15,169.21, 20,929.98 and 9,199.69

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Solution

The fourth proportional to 15,169.21, 20,929.98 and 9,199.69 is: 12,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,169.21 : 20,929.98 = 9,199.69 : x
  2. Step 2: Convert to fraction form
    15,169.21/20,929.98 = 9,199.69/x
  3. Step 3: Cross multiply
    15,169.21x = 20,929.98 × 9,199.69
  4. Step 4: Simplify right side
    15,169.21x = 192,549,327.71
  5. Step 5: Solve for x
    x = 192,549,327.71/15,169.21
  6. Step 6: Final answer
    x = 12,693.43

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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.