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Finding the Fourth Proportional to 29,438, 40,624.44 and 16,190

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Solution

The fourth proportional to 29,438, 40,624.44 and 16,190 is: 22,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,438 : 40,624.44 = 16,190 : x
  2. Step 2: Convert to fraction form
    29,438/40,624.44 = 16,190/x
  3. Step 3: Cross multiply
    29,438x = 40,624.44 × 16,190
  4. Step 4: Simplify right side
    29,438x = 657,709,683.60
  5. Step 5: Solve for x
    x = 657,709,683.60/29,438
  6. Step 6: Final answer
    x = 22,342.20

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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.