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Finding the Fourth Proportional to 31,172.69, 46,759.05 and 7,799.13

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Solution

The fourth proportional to 31,172.69, 46,759.05 and 7,799.13 is: 11,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.69 : 46,759.05 = 7,799.13 : x
  2. Step 2: Convert to fraction form
    31,172.69/46,759.05 = 7,799.13/x
  3. Step 3: Cross multiply
    31,172.69x = 46,759.05 × 7,799.13
  4. Step 4: Simplify right side
    31,172.69x = 364,679,909.63
  5. Step 5: Solve for x
    x = 364,679,909.63/31,172.69
  6. Step 6: Final answer
    x = 11,698.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.