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Finding the Fourth Proportional to 21,381.58, 32,073.68 and 8,234.00

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Solution

The fourth proportional to 21,381.58, 32,073.68 and 8,234.00 is: 12,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.58 : 32,073.68 = 8,234.00 : x
  2. Step 2: Convert to fraction form
    21,381.58/32,073.68 = 8,234.00/x
  3. Step 3: Cross multiply
    21,381.58x = 32,073.68 × 8,234.00
  4. Step 4: Simplify right side
    21,381.58x = 264,094,541.34
  5. Step 5: Solve for x
    x = 264,094,541.34/21,381.58
  6. Step 6: Final answer
    x = 12,351.50

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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.