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Finding the Fourth Proportional to 2,786, 3,844.52 and 1,652.38

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Solution

The fourth proportional to 2,786, 3,844.52 and 1,652.38 is: 2,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786 : 3,844.52 = 1,652.38 : x
  2. Step 2: Convert to fraction form
    2,786/3,844.52 = 1,652.38/x
  3. Step 3: Cross multiply
    2,786x = 3,844.52 × 1,652.38
  4. Step 4: Simplify right side
    2,786x = 6,352,607.96
  5. Step 5: Solve for x
    x = 6,352,607.96/2,786
  6. Step 6: Final answer
    x = 2,280.19

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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.