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Finding the Fourth Proportional to 26,978.16, 37,228.88 and 15,042

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Solution

The fourth proportional to 26,978.16, 37,228.88 and 15,042 is: 20,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.16 : 37,228.88 = 15,042 : x
  2. Step 2: Convert to fraction form
    26,978.16/37,228.88 = 15,042/x
  3. Step 3: Cross multiply
    26,978.16x = 37,228.88 × 15,042
  4. Step 4: Simplify right side
    26,978.16x = 559,996,812.96
  5. Step 5: Solve for x
    x = 559,996,812.96/26,978.16
  6. Step 6: Final answer
    x = 20,757.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.