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Finding the Fourth Proportional to 25,238, 37,857.72 and 6,770

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Solution

The fourth proportional to 25,238, 37,857.72 and 6,770 is: 10,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238 : 37,857.72 = 6,770 : x
  2. Step 2: Convert to fraction form
    25,238/37,857.72 = 6,770/x
  3. Step 3: Cross multiply
    25,238x = 37,857.72 × 6,770
  4. Step 4: Simplify right side
    25,238x = 256,296,764.40
  5. Step 5: Solve for x
    x = 256,296,764.40/25,238
  6. Step 6: Final answer
    x = 10,155.19

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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.