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Finding the Fourth Proportional to 2,665.51, 3,999.62 and 1,798

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Solution

The fourth proportional to 2,665.51, 3,999.62 and 1,798 is: 2,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.51 : 3,999.62 = 1,798 : x
  2. Step 2: Convert to fraction form
    2,665.51/3,999.62 = 1,798/x
  3. Step 3: Cross multiply
    2,665.51x = 3,999.62 × 1,798
  4. Step 4: Simplify right side
    2,665.51x = 7,191,316.76
  5. Step 5: Solve for x
    x = 7,191,316.76/2,665.51
  6. Step 6: Final answer
    x = 2,697.91

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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.