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Finding the Fourth Proportional to 6,345.78, 8,758.01 and 3,829.32

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Solution

The fourth proportional to 6,345.78, 8,758.01 and 3,829.32 is: 5,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.78 : 8,758.01 = 3,829.32 : x
  2. Step 2: Convert to fraction form
    6,345.78/8,758.01 = 3,829.32/x
  3. Step 3: Cross multiply
    6,345.78x = 8,758.01 × 3,829.32
  4. Step 4: Simplify right side
    6,345.78x = 33,537,203.71
  5. Step 5: Solve for x
    x = 33,537,203.71/6,345.78
  6. Step 6: Final answer
    x = 5,284.96

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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.