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Finding the Fourth Proportional to 1,855.76, 2,769.32 and 1,661.36

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Solution

The fourth proportional to 1,855.76, 2,769.32 and 1,661.36 is: 2,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.76 : 2,769.32 = 1,661.36 : x
  2. Step 2: Convert to fraction form
    1,855.76/2,769.32 = 1,661.36/x
  3. Step 3: Cross multiply
    1,855.76x = 2,769.32 × 1,661.36
  4. Step 4: Simplify right side
    1,855.76x = 4,600,837.48
  5. Step 5: Solve for x
    x = 4,600,837.48/1,855.76
  6. Step 6: Final answer
    x = 2,479.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.