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Finding the Fourth Proportional to 31,991.10, 47,986.65 and 9,804.30

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Solution

The fourth proportional to 31,991.10, 47,986.65 and 9,804.30 is: 14,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.10 : 47,986.65 = 9,804.30 : x
  2. Step 2: Convert to fraction form
    31,991.10/47,986.65 = 9,804.30/x
  3. Step 3: Cross multiply
    31,991.10x = 47,986.65 × 9,804.30
  4. Step 4: Simplify right side
    31,991.10x = 470,475,512.60
  5. Step 5: Solve for x
    x = 470,475,512.60/31,991.10
  6. Step 6: Final answer
    x = 14,706.45

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Similar ratio
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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.