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Finding the Fourth Proportional to 6,415.86, 8,853.80 and 3,583.29

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Solution

The fourth proportional to 6,415.86, 8,853.80 and 3,583.29 is: 4,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.86 : 8,853.80 = 3,583.29 : x
  2. Step 2: Convert to fraction form
    6,415.86/8,853.80 = 3,583.29/x
  3. Step 3: Cross multiply
    6,415.86x = 8,853.80 × 3,583.29
  4. Step 4: Simplify right side
    6,415.86x = 31,725,733.00
  5. Step 5: Solve for x
    x = 31,725,733.00/6,415.86
  6. Step 6: Final answer
    x = 4,944.89

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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.