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Finding the Fourth Proportional to 9,656.42, 13,274.62 and 8,307.09

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Solution

The fourth proportional to 9,656.42, 13,274.62 and 8,307.09 is: 11,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.42 : 13,274.62 = 8,307.09 : x
  2. Step 2: Convert to fraction form
    9,656.42/13,274.62 = 8,307.09/x
  3. Step 3: Cross multiply
    9,656.42x = 13,274.62 × 8,307.09
  4. Step 4: Simplify right side
    9,656.42x = 110,273,442.29
  5. Step 5: Solve for x
    x = 110,273,442.29/9,656.42
  6. Step 6: Final answer
    x = 11,419.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.