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Finding the Fourth Proportional to 8,342, 11,511.96 and 4,616.24

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Solution

The fourth proportional to 8,342, 11,511.96 and 4,616.24 is: 6,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342 : 11,511.96 = 4,616.24 : x
  2. Step 2: Convert to fraction form
    8,342/11,511.96 = 4,616.24/x
  3. Step 3: Cross multiply
    8,342x = 11,511.96 × 4,616.24
  4. Step 4: Simplify right side
    8,342x = 53,141,970.23
  5. Step 5: Solve for x
    x = 53,141,970.23/8,342
  6. Step 6: Final answer
    x = 6,370.41

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1.5x scale

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.