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Finding the Fourth Proportional to 26,978.32, 37,227.24 and 15,039.40

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Solution

The fourth proportional to 26,978.32, 37,227.24 and 15,039.40 is: 20,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.32 : 37,227.24 = 15,039.40 : x
  2. Step 2: Convert to fraction form
    26,978.32/37,227.24 = 15,039.40/x
  3. Step 3: Cross multiply
    26,978.32x = 37,227.24 × 15,039.40
  4. Step 4: Simplify right side
    26,978.32x = 559,875,353.26
  5. Step 5: Solve for x
    x = 559,875,353.26/26,978.32
  6. Step 6: Final answer
    x = 20,752.79

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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.