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Finding the Fourth Proportional to 8,420.38, 11,619.86 and 4,643.54

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Solution

The fourth proportional to 8,420.38, 11,619.86 and 4,643.54 is: 6,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.38 : 11,619.86 = 4,643.54 : x
  2. Step 2: Convert to fraction form
    8,420.38/11,619.86 = 4,643.54/x
  3. Step 3: Cross multiply
    8,420.38x = 11,619.86 × 4,643.54
  4. Step 4: Simplify right side
    8,420.38x = 53,957,238.21
  5. Step 5: Solve for x
    x = 53,957,238.21/8,420.38
  6. Step 6: Final answer
    x = 6,407.94

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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.