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Finding the Fourth Proportional to 25,609, 38,419.98 and 7,141

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Solution

The fourth proportional to 25,609, 38,419.98 and 7,141 is: 10,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,609 : 38,419.98 = 7,141 : x
  2. Step 2: Convert to fraction form
    25,609/38,419.98 = 7,141/x
  3. Step 3: Cross multiply
    25,609x = 38,419.98 × 7,141
  4. Step 4: Simplify right side
    25,609x = 274,357,077.18
  5. Step 5: Solve for x
    x = 274,357,077.18/25,609
  6. Step 6: Final answer
    x = 10,713.31

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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.