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Finding the Fourth Proportional to 15,378.24, 23,076 and 6,144.96

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Solution

The fourth proportional to 15,378.24, 23,076 and 6,144.96 is: 9,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378.24 : 23,076 = 6,144.96 : x
  2. Step 2: Convert to fraction form
    15,378.24/23,076 = 6,144.96/x
  3. Step 3: Cross multiply
    15,378.24x = 23,076 × 6,144.96
  4. Step 4: Simplify right side
    15,378.24x = 141,801,096.96
  5. Step 5: Solve for x
    x = 141,801,096.96/15,378.24
  6. Step 6: Final answer
    x = 9,220.89

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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.