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Finding the Fourth Proportional to 2,036, 2,812.34 and 1,505.96

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Solution

The fourth proportional to 2,036, 2,812.34 and 1,505.96 is: 2,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036 : 2,812.34 = 1,505.96 : x
  2. Step 2: Convert to fraction form
    2,036/2,812.34 = 1,505.96/x
  3. Step 3: Cross multiply
    2,036x = 2,812.34 × 1,505.96
  4. Step 4: Simplify right side
    2,036x = 4,235,271.55
  5. Step 5: Solve for x
    x = 4,235,271.55/2,036
  6. Step 6: Final answer
    x = 2,080.19

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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.