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Finding the Fourth Proportional to 31,980.47, 47,970.83 and 9,793.76

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Solution

The fourth proportional to 31,980.47, 47,970.83 and 9,793.76 is: 14,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.47 : 47,970.83 = 9,793.76 : x
  2. Step 2: Convert to fraction form
    31,980.47/47,970.83 = 9,793.76/x
  3. Step 3: Cross multiply
    31,980.47x = 47,970.83 × 9,793.76
  4. Step 4: Simplify right side
    31,980.47x = 469,814,747.05
  5. Step 5: Solve for x
    x = 469,814,747.05/31,980.47
  6. Step 6: Final answer
    x = 14,690.68

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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.