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Finding the Fourth Proportional to 5,853.78, 8,815.04 and 4,221.63

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Solution

The fourth proportional to 5,853.78, 8,815.04 and 4,221.63 is: 6,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.78 : 8,815.04 = 4,221.63 : x
  2. Step 2: Convert to fraction form
    5,853.78/8,815.04 = 4,221.63/x
  3. Step 3: Cross multiply
    5,853.78x = 8,815.04 × 4,221.63
  4. Step 4: Simplify right side
    5,853.78x = 37,213,816.21
  5. Step 5: Solve for x
    x = 37,213,816.21/5,853.78
  6. Step 6: Final answer
    x = 6,357.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.