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Finding the Fourth Proportional to 19,242, 28,865.72 and 7,548.88

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Solution

The fourth proportional to 19,242, 28,865.72 and 7,548.88 is: 11,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,242 : 28,865.72 = 7,548.88 : x
  2. Step 2: Convert to fraction form
    19,242/28,865.72 = 7,548.88/x
  3. Step 3: Cross multiply
    19,242x = 28,865.72 × 7,548.88
  4. Step 4: Simplify right side
    19,242x = 217,903,856.39
  5. Step 5: Solve for x
    x = 217,903,856.39/19,242
  6. Step 6: Final answer
    x = 11,324.39

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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.