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Finding the Fourth Proportional to 21,871.94, 32,813.12 and 7,080.86

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Solution

The fourth proportional to 21,871.94, 32,813.12 and 7,080.86 is: 10,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.94 : 32,813.12 = 7,080.86 : x
  2. Step 2: Convert to fraction form
    21,871.94/32,813.12 = 7,080.86/x
  3. Step 3: Cross multiply
    21,871.94x = 32,813.12 × 7,080.86
  4. Step 4: Simplify right side
    21,871.94x = 232,344,909.41
  5. Step 5: Solve for x
    x = 232,344,909.41/21,871.94
  6. Step 6: Final answer
    x = 10,622.97

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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.