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Finding the Fourth Proportional to 25,602, 38,409.48 and 7,134

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Solution

The fourth proportional to 25,602, 38,409.48 and 7,134 is: 10,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602 : 38,409.48 = 7,134 : x
  2. Step 2: Convert to fraction form
    25,602/38,409.48 = 7,134/x
  3. Step 3: Cross multiply
    25,602x = 38,409.48 × 7,134
  4. Step 4: Simplify right side
    25,602x = 274,013,230.32
  5. Step 5: Solve for x
    x = 274,013,230.32/25,602
  6. Step 6: Final answer
    x = 10,702.81

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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.