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Finding the Fourth Proportional to 31,479.36, 47,223.90 and 10,698

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Solution

The fourth proportional to 31,479.36, 47,223.90 and 10,698 is: 16,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,479.36 : 47,223.90 = 10,698 : x
  2. Step 2: Convert to fraction form
    31,479.36/47,223.90 = 10,698/x
  3. Step 3: Cross multiply
    31,479.36x = 47,223.90 × 10,698
  4. Step 4: Simplify right side
    31,479.36x = 505,201,282.20
  5. Step 5: Solve for x
    x = 505,201,282.20/31,479.36
  6. Step 6: Final answer
    x = 16,048.65

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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.