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Finding the Fourth Proportional to 9,486.73, 13,089.14 and 6,128.32

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Solution

The fourth proportional to 9,486.73, 13,089.14 and 6,128.32 is: 8,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.73 : 13,089.14 = 6,128.32 : x
  2. Step 2: Convert to fraction form
    9,486.73/13,089.14 = 6,128.32/x
  3. Step 3: Cross multiply
    9,486.73x = 13,089.14 × 6,128.32
  4. Step 4: Simplify right side
    9,486.73x = 80,214,375.08
  5. Step 5: Solve for x
    x = 80,214,375.08/9,486.73
  6. Step 6: Final answer
    x = 8,455.43

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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.