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Finding the Fourth Proportional to 31,989.80, 47,987.64 and 8,297.30

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Solution

The fourth proportional to 31,989.80, 47,987.64 and 8,297.30 is: 12,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,989.80 : 47,987.64 = 8,297.30 : x
  2. Step 2: Convert to fraction form
    31,989.80/47,987.64 = 8,297.30/x
  3. Step 3: Cross multiply
    31,989.80x = 47,987.64 × 8,297.30
  4. Step 4: Simplify right side
    31,989.80x = 398,167,965.34
  5. Step 5: Solve for x
    x = 398,167,965.34/31,989.80
  6. Step 6: Final answer
    x = 12,446.72

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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.