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Finding the Fourth Proportional to 31,893.04, 47,835.84 and 8,521.32

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Solution

The fourth proportional to 31,893.04, 47,835.84 and 8,521.32 is: 12,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.04 : 47,835.84 = 8,521.32 : x
  2. Step 2: Convert to fraction form
    31,893.04/47,835.84 = 8,521.32/x
  3. Step 3: Cross multiply
    31,893.04x = 47,835.84 × 8,521.32
  4. Step 4: Simplify right side
    31,893.04x = 407,624,500.11
  5. Step 5: Solve for x
    x = 407,624,500.11/31,893.04
  6. Step 6: Final answer
    x = 12,780.99

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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.