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Finding the Fourth Proportional to 21,189.55, 31,779 and 8,713.06

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Solution

The fourth proportional to 21,189.55, 31,779 and 8,713.06 is: 13,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.55 : 31,779 = 8,713.06 : x
  2. Step 2: Convert to fraction form
    21,189.55/31,779 = 8,713.06/x
  3. Step 3: Cross multiply
    21,189.55x = 31,779 × 8,713.06
  4. Step 4: Simplify right side
    21,189.55x = 276,892,333.74
  5. Step 5: Solve for x
    x = 276,892,333.74/21,189.55
  6. Step 6: Final answer
    x = 13,067.40

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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.