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Finding the Fourth Proportional to 31,865.70, 47,800.35 and 9,679.80

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Solution

The fourth proportional to 31,865.70, 47,800.35 and 9,679.80 is: 14,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,865.70 : 47,800.35 = 9,679.80 : x
  2. Step 2: Convert to fraction form
    31,865.70/47,800.35 = 9,679.80/x
  3. Step 3: Cross multiply
    31,865.70x = 47,800.35 × 9,679.80
  4. Step 4: Simplify right side
    31,865.70x = 462,697,827.93
  5. Step 5: Solve for x
    x = 462,697,827.93/31,865.70
  6. Step 6: Final answer
    x = 14,520.25

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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.