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Finding the Fourth Proportional to 8,542, 11,788.16 and 4,816

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Solution

The fourth proportional to 8,542, 11,788.16 and 4,816 is: 6,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542 : 11,788.16 = 4,816 : x
  2. Step 2: Convert to fraction form
    8,542/11,788.16 = 4,816/x
  3. Step 3: Cross multiply
    8,542x = 11,788.16 × 4,816
  4. Step 4: Simplify right side
    8,542x = 56,771,778.56
  5. Step 5: Solve for x
    x = 56,771,778.56/8,542
  6. Step 6: Final answer
    x = 6,646.19

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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.