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Finding the Fourth Proportional to 6,363.78, 8,782.41 and 4,235.64

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Solution

The fourth proportional to 6,363.78, 8,782.41 and 4,235.64 is: 5,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.78 : 8,782.41 = 4,235.64 : x
  2. Step 2: Convert to fraction form
    6,363.78/8,782.41 = 4,235.64/x
  3. Step 3: Cross multiply
    6,363.78x = 8,782.41 × 4,235.64
  4. Step 4: Simplify right side
    6,363.78x = 37,199,127.09
  5. Step 5: Solve for x
    x = 37,199,127.09/6,363.78
  6. Step 6: Final answer
    x = 5,845.45

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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.