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Finding the Fourth Proportional to 2,764.23, 3,815 and 1,585.07

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Solution

The fourth proportional to 2,764.23, 3,815 and 1,585.07 is: 2,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.23 : 3,815 = 1,585.07 : x
  2. Step 2: Convert to fraction form
    2,764.23/3,815 = 1,585.07/x
  3. Step 3: Cross multiply
    2,764.23x = 3,815 × 1,585.07
  4. Step 4: Simplify right side
    2,764.23x = 6,047,042.05
  5. Step 5: Solve for x
    x = 6,047,042.05/2,764.23
  6. Step 6: Final answer
    x = 2,187.60

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1.5x scale

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.