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Finding the Fourth Proportional to 23,247, 32,081.58 and 13,311

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Solution

The fourth proportional to 23,247, 32,081.58 and 13,311 is: 18,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,247 : 32,081.58 = 13,311 : x
  2. Step 2: Convert to fraction form
    23,247/32,081.58 = 13,311/x
  3. Step 3: Cross multiply
    23,247x = 32,081.58 × 13,311
  4. Step 4: Simplify right side
    23,247x = 427,037,911.38
  5. Step 5: Solve for x
    x = 427,037,911.38/23,247
  6. Step 6: Final answer
    x = 18,369.59

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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.