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Finding the Fourth Proportional to 31,871.70, 47,809.26 and 9,685.80

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Solution

The fourth proportional to 31,871.70, 47,809.26 and 9,685.80 is: 14,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.70 : 47,809.26 = 9,685.80 : x
  2. Step 2: Convert to fraction form
    31,871.70/47,809.26 = 9,685.80/x
  3. Step 3: Cross multiply
    31,871.70x = 47,809.26 × 9,685.80
  4. Step 4: Simplify right side
    31,871.70x = 463,070,930.51
  5. Step 5: Solve for x
    x = 463,070,930.51/31,871.70
  6. Step 6: Final answer
    x = 14,529.22

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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.