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Finding the Fourth Proportional to 8,615.68, 12,924.32 and 3,072

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Solution

The fourth proportional to 8,615.68, 12,924.32 and 3,072 is: 4,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.68 : 12,924.32 = 3,072 : x
  2. Step 2: Convert to fraction form
    8,615.68/12,924.32 = 3,072/x
  3. Step 3: Cross multiply
    8,615.68x = 12,924.32 × 3,072
  4. Step 4: Simplify right side
    8,615.68x = 39,703,511.04
  5. Step 5: Solve for x
    x = 39,703,511.04/8,615.68
  6. Step 6: Final answer
    x = 4,608.29

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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.