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Finding the Fourth Proportional to 31,991.07, 47,984.88 and 9,804.51

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Solution

The fourth proportional to 31,991.07, 47,984.88 and 9,804.51 is: 14,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.07 : 47,984.88 = 9,804.51 : x
  2. Step 2: Convert to fraction form
    31,991.07/47,984.88 = 9,804.51/x
  3. Step 3: Cross multiply
    31,991.07x = 47,984.88 × 9,804.51
  4. Step 4: Simplify right side
    31,991.07x = 470,468,235.81
  5. Step 5: Solve for x
    x = 470,468,235.81/31,991.07
  6. Step 6: Final answer
    x = 14,706.24

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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.