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Finding the Fourth Proportional to 6,446.71, 8,893.28 and 4,207.55

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Solution

The fourth proportional to 6,446.71, 8,893.28 and 4,207.55 is: 5,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.71 : 8,893.28 = 4,207.55 : x
  2. Step 2: Convert to fraction form
    6,446.71/8,893.28 = 4,207.55/x
  3. Step 3: Cross multiply
    6,446.71x = 8,893.28 × 4,207.55
  4. Step 4: Simplify right side
    6,446.71x = 37,418,920.26
  5. Step 5: Solve for x
    x = 37,418,920.26/6,446.71
  6. Step 6: Final answer
    x = 5,804.34

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Half scale
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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.