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Finding the Fourth Proportional to 6,409.90, 8,845.42 and 3,577.07

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Solution

The fourth proportional to 6,409.90, 8,845.42 and 3,577.07 is: 4,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.90 : 8,845.42 = 3,577.07 : x
  2. Step 2: Convert to fraction form
    6,409.90/8,845.42 = 3,577.07/x
  3. Step 3: Cross multiply
    6,409.90x = 8,845.42 × 3,577.07
  4. Step 4: Simplify right side
    6,409.90x = 31,640,686.52
  5. Step 5: Solve for x
    x = 31,640,686.52/6,409.90
  6. Step 6: Final answer
    x = 4,936.22

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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.