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Finding the Fourth Proportional to 51,184, 70,634.04 and 28,828

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Solution

The fourth proportional to 51,184, 70,634.04 and 28,828 is: 39,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,184 : 70,634.04 = 28,828 : x
  2. Step 2: Convert to fraction form
    51,184/70,634.04 = 28,828/x
  3. Step 3: Cross multiply
    51,184x = 70,634.04 × 28,828
  4. Step 4: Simplify right side
    51,184x = 2,036,238,105.12
  5. Step 5: Solve for x
    x = 2,036,238,105.12/51,184
  6. Step 6: Final answer
    x = 39,782.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.