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Finding the Fourth Proportional to 21,614.91, 32,422.37 and 8,465.64

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Solution

The fourth proportional to 21,614.91, 32,422.37 and 8,465.64 is: 12,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.91 : 32,422.37 = 8,465.64 : x
  2. Step 2: Convert to fraction form
    21,614.91/32,422.37 = 8,465.64/x
  3. Step 3: Cross multiply
    21,614.91x = 32,422.37 × 8,465.64
  4. Step 4: Simplify right side
    21,614.91x = 274,476,070.04
  5. Step 5: Solve for x
    x = 274,476,070.04/21,614.91
  6. Step 6: Final answer
    x = 12,698.46

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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.