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Finding the Fourth Proportional to 31,989.60, 47,984.94 and 9,806.94

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Solution

The fourth proportional to 31,989.60, 47,984.94 and 9,806.94 is: 14,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,989.60 : 47,984.94 = 9,806.94 : x
  2. Step 2: Convert to fraction form
    31,989.60/47,984.94 = 9,806.94/x
  3. Step 3: Cross multiply
    31,989.60x = 47,984.94 × 9,806.94
  4. Step 4: Simplify right side
    31,989.60x = 470,585,427.48
  5. Step 5: Solve for x
    x = 470,585,427.48/31,989.60
  6. Step 6: Final answer
    x = 14,710.58

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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.