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Finding the Fourth Proportional to 28,026, 42,039.24 and 7,248.24

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Solution

The fourth proportional to 28,026, 42,039.24 and 7,248.24 is: 10,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,026 : 42,039.24 = 7,248.24 : x
  2. Step 2: Convert to fraction form
    28,026/42,039.24 = 7,248.24/x
  3. Step 3: Cross multiply
    28,026x = 42,039.24 × 7,248.24
  4. Step 4: Simplify right side
    28,026x = 304,710,500.94
  5. Step 5: Solve for x
    x = 304,710,500.94/28,026
  6. Step 6: Final answer
    x = 10,872.42

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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.