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Finding the Fourth Proportional to 1,866.29, 2,777.40 and 1,804.01

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Solution

The fourth proportional to 1,866.29, 2,777.40 and 1,804.01 is: 2,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.29 : 2,777.40 = 1,804.01 : x
  2. Step 2: Convert to fraction form
    1,866.29/2,777.40 = 1,804.01/x
  3. Step 3: Cross multiply
    1,866.29x = 2,777.40 × 1,804.01
  4. Step 4: Simplify right side
    1,866.29x = 5,010,460.67
  5. Step 5: Solve for x
    x = 5,010,460.67/1,866.29
  6. Step 6: Final answer
    x = 2,684.72

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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.