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Finding the Fourth Proportional to 21,462, 32,194.08 and 7,612.08

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Solution

The fourth proportional to 21,462, 32,194.08 and 7,612.08 is: 11,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462 : 32,194.08 = 7,612.08 : x
  2. Step 2: Convert to fraction form
    21,462/32,194.08 = 7,612.08/x
  3. Step 3: Cross multiply
    21,462x = 32,194.08 × 7,612.08
  4. Step 4: Simplify right side
    21,462x = 245,063,912.49
  5. Step 5: Solve for x
    x = 245,063,912.49/21,462
  6. Step 6: Final answer
    x = 11,418.50

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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.