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Finding the Fourth Proportional to 31,647.28, 47,456.64 and 9,453.28

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Solution

The fourth proportional to 31,647.28, 47,456.64 and 9,453.28 is: 14,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.28 : 47,456.64 = 9,453.28 : x
  2. Step 2: Convert to fraction form
    31,647.28/47,456.64 = 9,453.28/x
  3. Step 3: Cross multiply
    31,647.28x = 47,456.64 × 9,453.28
  4. Step 4: Simplify right side
    31,647.28x = 448,620,905.78
  5. Step 5: Solve for x
    x = 448,620,905.78/31,647.28
  6. Step 6: Final answer
    x = 14,175.65

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1.5x scale

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.