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Finding the Fourth Proportional to 8,442.83, 11,651.81 and 4,905.83

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Solution

The fourth proportional to 8,442.83, 11,651.81 and 4,905.83 is: 6,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.83 : 11,651.81 = 4,905.83 : x
  2. Step 2: Convert to fraction form
    8,442.83/11,651.81 = 4,905.83/x
  3. Step 3: Cross multiply
    8,442.83x = 11,651.81 × 4,905.83
  4. Step 4: Simplify right side
    8,442.83x = 57,161,716.26
  5. Step 5: Solve for x
    x = 57,161,716.26/8,442.83
  6. Step 6: Final answer
    x = 6,770.45

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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.