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Finding the Fourth Proportional to 6,415.81, 8,853.72 and 3,583.23

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Solution

The fourth proportional to 6,415.81, 8,853.72 and 3,583.23 is: 4,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.81 : 8,853.72 = 3,583.23 : x
  2. Step 2: Convert to fraction form
    6,415.81/8,853.72 = 3,583.23/x
  3. Step 3: Cross multiply
    6,415.81x = 8,853.72 × 3,583.23
  4. Step 4: Simplify right side
    6,415.81x = 31,724,915.12
  5. Step 5: Solve for x
    x = 31,724,915.12/6,415.81
  6. Step 6: Final answer
    x = 4,944.80

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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.