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Finding the Fourth Proportional to 9,202.68, 13,784.52 and 7,638.96

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Solution

The fourth proportional to 9,202.68, 13,784.52 and 7,638.96 is: 11,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.68 : 13,784.52 = 7,638.96 : x
  2. Step 2: Convert to fraction form
    9,202.68/13,784.52 = 7,638.96/x
  3. Step 3: Cross multiply
    9,202.68x = 13,784.52 × 7,638.96
  4. Step 4: Simplify right side
    9,202.68x = 105,299,396.90
  5. Step 5: Solve for x
    x = 105,299,396.90/9,202.68
  6. Step 6: Final answer
    x = 11,442.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.