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Finding the Fourth Proportional to 21,632, 32,451.51 and 8,477.24

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Solution

The fourth proportional to 21,632, 32,451.51 and 8,477.24 is: 12,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632 : 32,451.51 = 8,477.24 : x
  2. Step 2: Convert to fraction form
    21,632/32,451.51 = 8,477.24/x
  3. Step 3: Cross multiply
    21,632x = 32,451.51 × 8,477.24
  4. Step 4: Simplify right side
    21,632x = 275,099,238.63
  5. Step 5: Solve for x
    x = 275,099,238.63/21,632
  6. Step 6: Final answer
    x = 12,717.24

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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.