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Finding the Fourth Proportional to 31,679, 47,485.20 and 10,613.84

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Solution

The fourth proportional to 31,679, 47,485.20 and 10,613.84 is: 15,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,679 : 47,485.20 = 10,613.84 : x
  2. Step 2: Convert to fraction form
    31,679/47,485.20 = 10,613.84/x
  3. Step 3: Cross multiply
    31,679x = 47,485.20 × 10,613.84
  4. Step 4: Simplify right side
    31,679x = 504,000,315.17
  5. Step 5: Solve for x
    x = 504,000,315.17/31,679
  6. Step 6: Final answer
    x = 15,909.60

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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.