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Finding the Fourth Proportional to 31,228, 46,838.55 and 7,854.45

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Solution

The fourth proportional to 31,228, 46,838.55 and 7,854.45 is: 11,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228 : 46,838.55 = 7,854.45 : x
  2. Step 2: Convert to fraction form
    31,228/46,838.55 = 7,854.45/x
  3. Step 3: Cross multiply
    31,228x = 46,838.55 × 7,854.45
  4. Step 4: Simplify right side
    31,228x = 367,891,049.05
  5. Step 5: Solve for x
    x = 367,891,049.05/31,228
  6. Step 6: Final answer
    x = 11,780.81

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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.