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Finding the Fourth Proportional to 31,705.60, 47,554.80 and 8,334.40

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Solution

The fourth proportional to 31,705.60, 47,554.80 and 8,334.40 is: 12,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.60 : 47,554.80 = 8,334.40 : x
  2. Step 2: Convert to fraction form
    31,705.60/47,554.80 = 8,334.40/x
  3. Step 3: Cross multiply
    31,705.60x = 47,554.80 × 8,334.40
  4. Step 4: Simplify right side
    31,705.60x = 396,340,725.12
  5. Step 5: Solve for x
    x = 396,340,725.12/31,705.60
  6. Step 6: Final answer
    x = 12,500.65

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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.