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Finding the Fourth Proportional to 6,406.43, 8,840.94 and 3,574.07

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Solution

The fourth proportional to 6,406.43, 8,840.94 and 3,574.07 is: 4,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.43 : 8,840.94 = 3,574.07 : x
  2. Step 2: Convert to fraction form
    6,406.43/8,840.94 = 3,574.07/x
  3. Step 3: Cross multiply
    6,406.43x = 8,840.94 × 3,574.07
  4. Step 4: Simplify right side
    6,406.43x = 31,598,094.22
  5. Step 5: Solve for x
    x = 31,598,094.22/6,406.43
  6. Step 6: Final answer
    x = 4,932.25

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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.