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Finding the Fourth Proportional to 25,642, 38,463.04 and 7,174

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Solution

The fourth proportional to 25,642, 38,463.04 and 7,174 is: 10,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642 : 38,463.04 = 7,174 : x
  2. Step 2: Convert to fraction form
    25,642/38,463.04 = 7,174/x
  3. Step 3: Cross multiply
    25,642x = 38,463.04 × 7,174
  4. Step 4: Simplify right side
    25,642x = 275,933,848.96
  5. Step 5: Solve for x
    x = 275,933,848.96/25,642
  6. Step 6: Final answer
    x = 10,761.01

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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.