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Finding the Fourth Proportional to 3,605.08, 5,407.62 and 2,065

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Solution

The fourth proportional to 3,605.08, 5,407.62 and 2,065 is: 3,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.08 : 5,407.62 = 2,065 : x
  2. Step 2: Convert to fraction form
    3,605.08/5,407.62 = 2,065/x
  3. Step 3: Cross multiply
    3,605.08x = 5,407.62 × 2,065
  4. Step 4: Simplify right side
    3,605.08x = 11,166,735.30
  5. Step 5: Solve for x
    x = 11,166,735.30/3,605.08
  6. Step 6: Final answer
    x = 3,097.50

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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.