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Finding the Fourth Proportional to 21,347.96, 32,019.48 and 8,191.08

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Solution

The fourth proportional to 21,347.96, 32,019.48 and 8,191.08 is: 12,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.96 : 32,019.48 = 8,191.08 : x
  2. Step 2: Convert to fraction form
    21,347.96/32,019.48 = 8,191.08/x
  3. Step 3: Cross multiply
    21,347.96x = 32,019.48 × 8,191.08
  4. Step 4: Simplify right side
    21,347.96x = 262,274,122.24
  5. Step 5: Solve for x
    x = 262,274,122.24/21,347.96
  6. Step 6: Final answer
    x = 12,285.68

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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.