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Finding the Fourth Proportional to 26,816, 37,006.72 and 15,040

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Solution

The fourth proportional to 26,816, 37,006.72 and 15,040 is: 20,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,816 : 37,006.72 = 15,040 : x
  2. Step 2: Convert to fraction form
    26,816/37,006.72 = 15,040/x
  3. Step 3: Cross multiply
    26,816x = 37,006.72 × 15,040
  4. Step 4: Simplify right side
    26,816x = 556,581,068.80
  5. Step 5: Solve for x
    x = 556,581,068.80/26,816
  6. Step 6: Final answer
    x = 20,755.56

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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.