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Finding the Fourth Proportional to 28,011.80, 41,978.10 and 15,537.32

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Solution

The fourth proportional to 28,011.80, 41,978.10 and 15,537.32 is: 23,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,011.80 : 41,978.10 = 15,537.32 : x
  2. Step 2: Convert to fraction form
    28,011.80/41,978.10 = 15,537.32/x
  3. Step 3: Cross multiply
    28,011.80x = 41,978.10 × 15,537.32
  4. Step 4: Simplify right side
    28,011.80x = 652,227,172.69
  5. Step 5: Solve for x
    x = 652,227,172.69/28,011.80
  6. Step 6: Final answer
    x = 23,284.02

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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.