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Finding the Fourth Proportional to 2,065.96, 3,099.12 and 585.19

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Solution

The fourth proportional to 2,065.96, 3,099.12 and 585.19 is: 877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.96 : 3,099.12 = 585.19 : x
  2. Step 2: Convert to fraction form
    2,065.96/3,099.12 = 585.19/x
  3. Step 3: Cross multiply
    2,065.96x = 3,099.12 × 585.19
  4. Step 4: Simplify right side
    2,065.96x = 1,813,574.03
  5. Step 5: Solve for x
    x = 1,813,574.03/2,065.96
  6. Step 6: Final answer
    x = 877.84

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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.