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Finding the Fourth Proportional to 28,015.50, 42,024.06 and 7,239

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Solution

The fourth proportional to 28,015.50, 42,024.06 and 7,239 is: 10,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,015.50 : 42,024.06 = 7,239 : x
  2. Step 2: Convert to fraction form
    28,015.50/42,024.06 = 7,239/x
  3. Step 3: Cross multiply
    28,015.50x = 42,024.06 × 7,239
  4. Step 4: Simplify right side
    28,015.50x = 304,212,170.34
  5. Step 5: Solve for x
    x = 304,212,170.34/28,015.50
  6. Step 6: Final answer
    x = 10,858.71

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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.