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Finding the Fourth Proportional to 21,169.85, 31,742.30 and 8,019.14

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Solution

The fourth proportional to 21,169.85, 31,742.30 and 8,019.14 is: 12,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.85 : 31,742.30 = 8,019.14 : x
  2. Step 2: Convert to fraction form
    21,169.85/31,742.30 = 8,019.14/x
  3. Step 3: Cross multiply
    21,169.85x = 31,742.30 × 8,019.14
  4. Step 4: Simplify right side
    21,169.85x = 254,545,748.81
  5. Step 5: Solve for x
    x = 254,545,748.81/21,169.85
  6. Step 6: Final answer
    x = 12,023.98

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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.