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Finding the Fourth Proportional to 1,812, 2,502.46 and 1,345.44

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Solution

The fourth proportional to 1,812, 2,502.46 and 1,345.44 is: 1,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812 : 2,502.46 = 1,345.44 : x
  2. Step 2: Convert to fraction form
    1,812/2,502.46 = 1,345.44/x
  3. Step 3: Cross multiply
    1,812x = 2,502.46 × 1,345.44
  4. Step 4: Simplify right side
    1,812x = 3,366,909.78
  5. Step 5: Solve for x
    x = 3,366,909.78/1,812
  6. Step 6: Final answer
    x = 1,858.12

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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.