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Finding the Fourth Proportional to 25,239.89, 37,865.40 and 7,711.08

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Solution

The fourth proportional to 25,239.89, 37,865.40 and 7,711.08 is: 11,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,239.89 : 37,865.40 = 7,711.08 : x
  2. Step 2: Convert to fraction form
    25,239.89/37,865.40 = 7,711.08/x
  3. Step 3: Cross multiply
    25,239.89x = 37,865.40 × 7,711.08
  4. Step 4: Simplify right side
    25,239.89x = 291,983,128.63
  5. Step 5: Solve for x
    x = 291,983,128.63/25,239.89
  6. Step 6: Final answer
    x = 11,568.32

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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.