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Finding the Fourth Proportional to 31,777.42, 47,657 and 12,802

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Solution

The fourth proportional to 31,777.42, 47,657 and 12,802 is: 19,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.42 : 47,657 = 12,802 : x
  2. Step 2: Convert to fraction form
    31,777.42/47,657 = 12,802/x
  3. Step 3: Cross multiply
    31,777.42x = 47,657 × 12,802
  4. Step 4: Simplify right side
    31,777.42x = 610,104,914
  5. Step 5: Solve for x
    x = 610,104,914/31,777.42
  6. Step 6: Final answer
    x = 19,199.32

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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.