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Finding the Fourth Proportional to 8,654.22, 11,935.35 and 6,975

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Solution

The fourth proportional to 8,654.22, 11,935.35 and 6,975 is: 9,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.22 : 11,935.35 = 6,975 : x
  2. Step 2: Convert to fraction form
    8,654.22/11,935.35 = 6,975/x
  3. Step 3: Cross multiply
    8,654.22x = 11,935.35 × 6,975
  4. Step 4: Simplify right side
    8,654.22x = 83,249,066.25
  5. Step 5: Solve for x
    x = 83,249,066.25/8,654.22
  6. Step 6: Final answer
    x = 9,619.48

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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.