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Finding the Fourth Proportional to 38,215, 57,325.74 and 10,513

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Solution

The fourth proportional to 38,215, 57,325.74 and 10,513 is: 15,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,215 : 57,325.74 = 10,513 : x
  2. Step 2: Convert to fraction form
    38,215/57,325.74 = 10,513/x
  3. Step 3: Cross multiply
    38,215x = 57,325.74 × 10,513
  4. Step 4: Simplify right side
    38,215x = 602,665,504.62
  5. Step 5: Solve for x
    x = 602,665,504.62/38,215
  6. Step 6: Final answer
    x = 15,770.39

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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.