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Finding the Fourth Proportional to 31,765, 47,647.50 and 13,297

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Solution

The fourth proportional to 31,765, 47,647.50 and 13,297 is: 19,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765 : 47,647.50 = 13,297 : x
  2. Step 2: Convert to fraction form
    31,765/47,647.50 = 13,297/x
  3. Step 3: Cross multiply
    31,765x = 47,647.50 × 13,297
  4. Step 4: Simplify right side
    31,765x = 633,568,807.50
  5. Step 5: Solve for x
    x = 633,568,807.50/31,765
  6. Step 6: Final answer
    x = 19,945.50

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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.