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Finding the Fourth Proportional to 1,807.54, 2,712.12 and 1,664.98

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Solution

The fourth proportional to 1,807.54, 2,712.12 and 1,664.98 is: 2,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.54 : 2,712.12 = 1,664.98 : x
  2. Step 2: Convert to fraction form
    1,807.54/2,712.12 = 1,664.98/x
  3. Step 3: Cross multiply
    1,807.54x = 2,712.12 × 1,664.98
  4. Step 4: Simplify right side
    1,807.54x = 4,515,625.56
  5. Step 5: Solve for x
    x = 4,515,625.56/1,807.54
  6. Step 6: Final answer
    x = 2,498.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.