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Finding the Fourth Proportional to 1,869.47, 2,804.21 and 1,866.77

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Solution

The fourth proportional to 1,869.47, 2,804.21 and 1,866.77 is: 2,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.47 : 2,804.21 = 1,866.77 : x
  2. Step 2: Convert to fraction form
    1,869.47/2,804.21 = 1,866.77/x
  3. Step 3: Cross multiply
    1,869.47x = 2,804.21 × 1,866.77
  4. Step 4: Simplify right side
    1,869.47x = 5,234,815.10
  5. Step 5: Solve for x
    x = 5,234,815.10/1,869.47
  6. Step 6: Final answer
    x = 2,800.16

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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.