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Finding the Fourth Proportional to 6,342.44, 8,752.62 and 3,509.77

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Solution

The fourth proportional to 6,342.44, 8,752.62 and 3,509.77 is: 4,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.44 : 8,752.62 = 3,509.77 : x
  2. Step 2: Convert to fraction form
    6,342.44/8,752.62 = 3,509.77/x
  3. Step 3: Cross multiply
    6,342.44x = 8,752.62 × 3,509.77
  4. Step 4: Simplify right side
    6,342.44x = 30,719,683.10
  5. Step 5: Solve for x
    x = 30,719,683.10/6,342.44
  6. Step 6: Final answer
    x = 4,843.51

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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.