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Finding the Fourth Proportional to 31,871.60, 47,812.80 and 9,684.80

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Solution

The fourth proportional to 31,871.60, 47,812.80 and 9,684.80 is: 14,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.60 : 47,812.80 = 9,684.80 : x
  2. Step 2: Convert to fraction form
    31,871.60/47,812.80 = 9,684.80/x
  3. Step 3: Cross multiply
    31,871.60x = 47,812.80 × 9,684.80
  4. Step 4: Simplify right side
    31,871.60x = 463,057,405.44
  5. Step 5: Solve for x
    x = 463,057,405.44/31,871.60
  6. Step 6: Final answer
    x = 14,528.84

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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.