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Finding the Fourth Proportional to 29,709.64, 40,999.80 and 16,280

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Solution

The fourth proportional to 29,709.64, 40,999.80 and 16,280 is: 22,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.64 : 40,999.80 = 16,280 : x
  2. Step 2: Convert to fraction form
    29,709.64/40,999.80 = 16,280/x
  3. Step 3: Cross multiply
    29,709.64x = 40,999.80 × 16,280
  4. Step 4: Simplify right side
    29,709.64x = 667,476,744
  5. Step 5: Solve for x
    x = 667,476,744/29,709.64
  6. Step 6: Final answer
    x = 22,466.67

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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.