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Finding the Fourth Proportional to 15,489, 23,223.96 and 9,247.80

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Solution

The fourth proportional to 15,489, 23,223.96 and 9,247.80 is: 13,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489 : 23,223.96 = 9,247.80 : x
  2. Step 2: Convert to fraction form
    15,489/23,223.96 = 9,247.80/x
  3. Step 3: Cross multiply
    15,489x = 23,223.96 × 9,247.80
  4. Step 4: Simplify right side
    15,489x = 214,770,537.29
  5. Step 5: Solve for x
    x = 214,770,537.29/15,489
  6. Step 6: Final answer
    x = 13,866.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.