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Finding the Fourth Proportional to 31,745.80, 47,623.06 and 10,687.48

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Solution

The fourth proportional to 31,745.80, 47,623.06 and 10,687.48 is: 16,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.80 : 47,623.06 = 10,687.48 : x
  2. Step 2: Convert to fraction form
    31,745.80/47,623.06 = 10,687.48/x
  3. Step 3: Cross multiply
    31,745.80x = 47,623.06 × 10,687.48
  4. Step 4: Simplify right side
    31,745.80x = 508,970,501.29
  5. Step 5: Solve for x
    x = 508,970,501.29/31,745.80
  6. Step 6: Final answer
    x = 16,032.69

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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.