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Finding the Fourth Proportional to 6,886.31, 9,503.88 and 6,464.03

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Solution

The fourth proportional to 6,886.31, 9,503.88 and 6,464.03 is: 8,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.31 : 9,503.88 = 6,464.03 : x
  2. Step 2: Convert to fraction form
    6,886.31/9,503.88 = 6,464.03/x
  3. Step 3: Cross multiply
    6,886.31x = 9,503.88 × 6,464.03
  4. Step 4: Simplify right side
    6,886.31x = 61,433,365.44
  5. Step 5: Solve for x
    x = 61,433,365.44/6,886.31
  6. Step 6: Final answer
    x = 8,921.09

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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.