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Finding the Fourth Proportional to 31,871.04, 47,815.20 and 11,096.16

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Solution

The fourth proportional to 31,871.04, 47,815.20 and 11,096.16 is: 16,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.04 : 47,815.20 = 11,096.16 : x
  2. Step 2: Convert to fraction form
    31,871.04/47,815.20 = 11,096.16/x
  3. Step 3: Cross multiply
    31,871.04x = 47,815.20 × 11,096.16
  4. Step 4: Simplify right side
    31,871.04x = 530,565,109.63
  5. Step 5: Solve for x
    x = 530,565,109.63/31,871.04
  6. Step 6: Final answer
    x = 16,647.25

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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.