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Finding the Fourth Proportional to 25,436, 38,156.64 and 6,968

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Solution

The fourth proportional to 25,436, 38,156.64 and 6,968 is: 10,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,436 : 38,156.64 = 6,968 : x
  2. Step 2: Convert to fraction form
    25,436/38,156.64 = 6,968/x
  3. Step 3: Cross multiply
    25,436x = 38,156.64 × 6,968
  4. Step 4: Simplify right side
    25,436x = 265,875,467.52
  5. Step 5: Solve for x
    x = 265,875,467.52/25,436
  6. Step 6: Final answer
    x = 10,452.72

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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.