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Finding the Fourth Proportional to 16,420.46, 22,660.25 and 9,346.88

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Solution

The fourth proportional to 16,420.46, 22,660.25 and 9,346.88 is: 12,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.46 : 22,660.25 = 9,346.88 : x
  2. Step 2: Convert to fraction form
    16,420.46/22,660.25 = 9,346.88/x
  3. Step 3: Cross multiply
    16,420.46x = 22,660.25 × 9,346.88
  4. Step 4: Simplify right side
    16,420.46x = 211,802,524.22
  5. Step 5: Solve for x
    x = 211,802,524.22/16,420.46
  6. Step 6: Final answer
    x = 12,898.70

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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.