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Finding the Fourth Proportional to 16,437, 22,683.42 and 8,985

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Solution

The fourth proportional to 16,437, 22,683.42 and 8,985 is: 12,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437 : 22,683.42 = 8,985 : x
  2. Step 2: Convert to fraction form
    16,437/22,683.42 = 8,985/x
  3. Step 3: Cross multiply
    16,437x = 22,683.42 × 8,985
  4. Step 4: Simplify right side
    16,437x = 203,810,528.70
  5. Step 5: Solve for x
    x = 203,810,528.70/16,437
  6. Step 6: Final answer
    x = 12,399.50

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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.