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Finding the Fourth Proportional to 38,497, 57,745.50 and 9,313

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Solution

The fourth proportional to 38,497, 57,745.50 and 9,313 is: 13,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497 : 57,745.50 = 9,313 : x
  2. Step 2: Convert to fraction form
    38,497/57,745.50 = 9,313/x
  3. Step 3: Cross multiply
    38,497x = 57,745.50 × 9,313
  4. Step 4: Simplify right side
    38,497x = 537,783,841.50
  5. Step 5: Solve for x
    x = 537,783,841.50/38,497
  6. Step 6: Final answer
    x = 13,969.50

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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.