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Finding the Fourth Proportional to 21,347.80, 32,023.92 and 8,211.16

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Solution

The fourth proportional to 21,347.80, 32,023.92 and 8,211.16 is: 12,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.80 : 32,023.92 = 8,211.16 : x
  2. Step 2: Convert to fraction form
    21,347.80/32,023.92 = 8,211.16/x
  3. Step 3: Cross multiply
    21,347.80x = 32,023.92 × 8,211.16
  4. Step 4: Simplify right side
    21,347.80x = 262,953,530.95
  5. Step 5: Solve for x
    x = 262,953,530.95/21,347.80
  6. Step 6: Final answer
    x = 12,317.59

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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.