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Finding the Fourth Proportional to 26,915, 37,142.70 and 15,139

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Solution

The fourth proportional to 26,915, 37,142.70 and 15,139 is: 20,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,915 : 37,142.70 = 15,139 : x
  2. Step 2: Convert to fraction form
    26,915/37,142.70 = 15,139/x
  3. Step 3: Cross multiply
    26,915x = 37,142.70 × 15,139
  4. Step 4: Simplify right side
    26,915x = 562,303,335.30
  5. Step 5: Solve for x
    x = 562,303,335.30/26,915
  6. Step 6: Final answer
    x = 20,891.82

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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.