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Finding the Fourth Proportional to 21,343.80, 32,017.92 and 8,207.16

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Solution

The fourth proportional to 21,343.80, 32,017.92 and 8,207.16 is: 12,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.80 : 32,017.92 = 8,207.16 : x
  2. Step 2: Convert to fraction form
    21,343.80/32,017.92 = 8,207.16/x
  3. Step 3: Cross multiply
    21,343.80x = 32,017.92 × 8,207.16
  4. Step 4: Simplify right side
    21,343.80x = 262,776,192.31
  5. Step 5: Solve for x
    x = 262,776,192.31/21,343.80
  6. Step 6: Final answer
    x = 12,311.59

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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.