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Finding the Fourth Proportional to 25,187, 37,781.30 and 7,656.98

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Solution

The fourth proportional to 25,187, 37,781.30 and 7,656.98 is: 11,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187 : 37,781.30 = 7,656.98 : x
  2. Step 2: Convert to fraction form
    25,187/37,781.30 = 7,656.98/x
  3. Step 3: Cross multiply
    25,187x = 37,781.30 × 7,656.98
  4. Step 4: Simplify right side
    25,187x = 289,290,658.47
  5. Step 5: Solve for x
    x = 289,290,658.47/25,187
  6. Step 6: Final answer
    x = 11,485.71

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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.