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Finding the Fourth Proportional to 15,984.21, 22,058.49 and 8,909.86

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Solution

The fourth proportional to 15,984.21, 22,058.49 and 8,909.86 is: 12,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.21 : 22,058.49 = 8,909.86 : x
  2. Step 2: Convert to fraction form
    15,984.21/22,058.49 = 8,909.86/x
  3. Step 3: Cross multiply
    15,984.21x = 22,058.49 × 8,909.86
  4. Step 4: Simplify right side
    15,984.21x = 196,538,057.71
  5. Step 5: Solve for x
    x = 196,538,057.71/15,984.21
  6. Step 6: Final answer
    x = 12,295.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.