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Finding the Fourth Proportional to 25,370, 38,055.12 and 6,902

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Solution

The fourth proportional to 25,370, 38,055.12 and 6,902 is: 10,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,370 : 38,055.12 = 6,902 : x
  2. Step 2: Convert to fraction form
    25,370/38,055.12 = 6,902/x
  3. Step 3: Cross multiply
    25,370x = 38,055.12 × 6,902
  4. Step 4: Simplify right side
    25,370x = 262,656,438.24
  5. Step 5: Solve for x
    x = 262,656,438.24/25,370
  6. Step 6: Final answer
    x = 10,353.03

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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.