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Finding the Fourth Proportional to 31,191.58, 46,787.58 and 12,473.20

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Solution

The fourth proportional to 31,191.58, 46,787.58 and 12,473.20 is: 18,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.58 : 46,787.58 = 12,473.20 : x
  2. Step 2: Convert to fraction form
    31,191.58/46,787.58 = 12,473.20/x
  3. Step 3: Cross multiply
    31,191.58x = 46,787.58 × 12,473.20
  4. Step 4: Simplify right side
    31,191.58x = 583,590,546.55
  5. Step 5: Solve for x
    x = 583,590,546.55/31,191.58
  6. Step 6: Final answer
    x = 18,709.87

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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.