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Finding the Fourth Proportional to 25,620, 38,430 and 6,164

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Solution

The fourth proportional to 25,620, 38,430 and 6,164 is: 9,246

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,620 : 38,430 = 6,164 : x
  2. Step 2: Convert to fraction form
    25,620/38,430 = 6,164/x
  3. Step 3: Cross multiply
    25,620x = 38,430 × 6,164
  4. Step 4: Simplify right side
    25,620x = 236,882,520
  5. Step 5: Solve for x
    x = 236,882,520/25,620
  6. Step 6: Final answer
    x = 9,246

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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.