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Finding the Fourth Proportional to 4,065.62, 6,099 and 1,292

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Solution

The fourth proportional to 4,065.62, 6,099 and 1,292 is: 1,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.62 : 6,099 = 1,292 : x
  2. Step 2: Convert to fraction form
    4,065.62/6,099 = 1,292/x
  3. Step 3: Cross multiply
    4,065.62x = 6,099 × 1,292
  4. Step 4: Simplify right side
    4,065.62x = 7,879,908
  5. Step 5: Solve for x
    x = 7,879,908/4,065.62
  6. Step 6: Final answer
    x = 1,938.18

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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.