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Finding the Fourth Proportional to 6,405.74, 8,840.19 and 3,752.78

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Solution

The fourth proportional to 6,405.74, 8,840.19 and 3,752.78 is: 5,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.74 : 8,840.19 = 3,752.78 : x
  2. Step 2: Convert to fraction form
    6,405.74/8,840.19 = 3,752.78/x
  3. Step 3: Cross multiply
    6,405.74x = 8,840.19 × 3,752.78
  4. Step 4: Simplify right side
    6,405.74x = 33,175,288.23
  5. Step 5: Solve for x
    x = 33,175,288.23/6,405.74
  6. Step 6: Final answer
    x = 5,178.99

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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.