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Finding the Fourth Proportional to 25,090.78, 37,642.50 and 17,709.66

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Solution

The fourth proportional to 25,090.78, 37,642.50 and 17,709.66 is: 26,568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,090.78 : 37,642.50 = 17,709.66 : x
  2. Step 2: Convert to fraction form
    25,090.78/37,642.50 = 17,709.66/x
  3. Step 3: Cross multiply
    25,090.78x = 37,642.50 × 17,709.66
  4. Step 4: Simplify right side
    25,090.78x = 666,635,876.55
  5. Step 5: Solve for x
    x = 666,635,876.55/25,090.78
  6. Step 6: Final answer
    x = 26,568.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.