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Finding the Fourth Proportional to 9,200.08, 13,800.06 and 6,094

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Solution

The fourth proportional to 9,200.08, 13,800.06 and 6,094 is: 9,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.08 : 13,800.06 = 6,094 : x
  2. Step 2: Convert to fraction form
    9,200.08/13,800.06 = 6,094/x
  3. Step 3: Cross multiply
    9,200.08x = 13,800.06 × 6,094
  4. Step 4: Simplify right side
    9,200.08x = 84,097,565.64
  5. Step 5: Solve for x
    x = 84,097,565.64/9,200.08
  6. Step 6: Final answer
    x = 9,140.96

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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.