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Finding the Fourth Proportional to 8,343.50, 11,514.39 and 4,617.50

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Solution

The fourth proportional to 8,343.50, 11,514.39 and 4,617.50 is: 6,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.50 : 11,514.39 = 4,617.50 : x
  2. Step 2: Convert to fraction form
    8,343.50/11,514.39 = 4,617.50/x
  3. Step 3: Cross multiply
    8,343.50x = 11,514.39 × 4,617.50
  4. Step 4: Simplify right side
    8,343.50x = 53,167,695.83
  5. Step 5: Solve for x
    x = 53,167,695.83/8,343.50
  6. Step 6: Final answer
    x = 6,372.35

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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.