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Finding the Fourth Proportional to 1,812.98, 2,500.85 and 1,026.87

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Solution

The fourth proportional to 1,812.98, 2,500.85 and 1,026.87 is: 1,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.98 : 2,500.85 = 1,026.87 : x
  2. Step 2: Convert to fraction form
    1,812.98/2,500.85 = 1,026.87/x
  3. Step 3: Cross multiply
    1,812.98x = 2,500.85 × 1,026.87
  4. Step 4: Simplify right side
    1,812.98x = 2,568,042.71
  5. Step 5: Solve for x
    x = 2,568,042.71/1,812.98
  6. Step 6: Final answer
    x = 1,416.48

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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.