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Finding the Fourth Proportional to 31,800.72, 47,696.04 and 19,157.34

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Solution

The fourth proportional to 31,800.72, 47,696.04 and 19,157.34 is: 28,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.72 : 47,696.04 = 19,157.34 : x
  2. Step 2: Convert to fraction form
    31,800.72/47,696.04 = 19,157.34/x
  3. Step 3: Cross multiply
    31,800.72x = 47,696.04 × 19,157.34
  4. Step 4: Simplify right side
    31,800.72x = 913,729,254.93
  5. Step 5: Solve for x
    x = 913,729,254.93/31,800.72
  6. Step 6: Final answer
    x = 28,732.97

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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.