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Finding the Fourth Proportional to 8,342.50, 11,513.01 and 4,616.50

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Solution

The fourth proportional to 8,342.50, 11,513.01 and 4,616.50 is: 6,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.50 : 11,513.01 = 4,616.50 : x
  2. Step 2: Convert to fraction form
    8,342.50/11,513.01 = 4,616.50/x
  3. Step 3: Cross multiply
    8,342.50x = 11,513.01 × 4,616.50
  4. Step 4: Simplify right side
    8,342.50x = 53,149,810.67
  5. Step 5: Solve for x
    x = 53,149,810.67/8,342.50
  6. Step 6: Final answer
    x = 6,370.97

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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.