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Finding the Fourth Proportional to 16,494, 22,761.57 and 9,420.39

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Solution

The fourth proportional to 16,494, 22,761.57 and 9,420.39 is: 13,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494 : 22,761.57 = 9,420.39 : x
  2. Step 2: Convert to fraction form
    16,494/22,761.57 = 9,420.39/x
  3. Step 3: Cross multiply
    16,494x = 22,761.57 × 9,420.39
  4. Step 4: Simplify right side
    16,494x = 214,422,866.41
  5. Step 5: Solve for x
    x = 214,422,866.41/16,494
  6. Step 6: Final answer
    x = 13,000.05

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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.