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Finding the Fourth Proportional to 31,393.44, 47,113.92 and 15,824.16

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Solution

The fourth proportional to 31,393.44, 47,113.92 and 15,824.16 is: 23,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.44 : 47,113.92 = 15,824.16 : x
  2. Step 2: Convert to fraction form
    31,393.44/47,113.92 = 15,824.16/x
  3. Step 3: Cross multiply
    31,393.44x = 47,113.92 × 15,824.16
  4. Step 4: Simplify right side
    31,393.44x = 745,538,208.31
  5. Step 5: Solve for x
    x = 745,538,208.31/31,393.44
  6. Step 6: Final answer
    x = 23,748.22

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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.