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Finding the Fourth Proportional to 31,609.64, 47,380.40 and 16,803.64

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Solution

The fourth proportional to 31,609.64, 47,380.40 and 16,803.64 is: 25,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.64 : 47,380.40 = 16,803.64 : x
  2. Step 2: Convert to fraction form
    31,609.64/47,380.40 = 16,803.64/x
  3. Step 3: Cross multiply
    31,609.64x = 47,380.40 × 16,803.64
  4. Step 4: Simplify right side
    31,609.64x = 796,163,184.66
  5. Step 5: Solve for x
    x = 796,163,184.66/31,609.64
  6. Step 6: Final answer
    x = 25,187.35

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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.