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Finding the Fourth Proportional to 31,796.76, 47,656.02 and 18,658.20

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Solution

The fourth proportional to 31,796.76, 47,656.02 and 18,658.20 is: 27,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.76 : 47,656.02 = 18,658.20 : x
  2. Step 2: Convert to fraction form
    31,796.76/47,656.02 = 18,658.20/x
  3. Step 3: Cross multiply
    31,796.76x = 47,656.02 × 18,658.20
  4. Step 4: Simplify right side
    31,796.76x = 889,175,552.36
  5. Step 5: Solve for x
    x = 889,175,552.36/31,796.76
  6. Step 6: Final answer
    x = 27,964.34

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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.