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Finding the Fourth Proportional to 31,118.88, 46,686 and 10,342.56

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Solution

The fourth proportional to 31,118.88, 46,686 and 10,342.56 is: 15,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,118.88 : 46,686 = 10,342.56 : x
  2. Step 2: Convert to fraction form
    31,118.88/46,686 = 10,342.56/x
  3. Step 3: Cross multiply
    31,118.88x = 46,686 × 10,342.56
  4. Step 4: Simplify right side
    31,118.88x = 482,852,756.16
  5. Step 5: Solve for x
    x = 482,852,756.16/31,118.88
  6. Step 6: Final answer
    x = 15,516.39

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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.