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Finding the Fourth Proportional to 28,410.69, 42,616 and 7,634.19

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Solution

The fourth proportional to 28,410.69, 42,616 and 7,634.19 is: 11,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,410.69 : 42,616 = 7,634.19 : x
  2. Step 2: Convert to fraction form
    28,410.69/42,616 = 7,634.19/x
  3. Step 3: Cross multiply
    28,410.69x = 42,616 × 7,634.19
  4. Step 4: Simplify right side
    28,410.69x = 325,338,641.04
  5. Step 5: Solve for x
    x = 325,338,641.04/28,410.69
  6. Step 6: Final answer
    x = 11,451.28

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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.