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Finding the Fourth Proportional to 1,871.93, 2,804.80 and 830.37

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Solution

The fourth proportional to 1,871.93, 2,804.80 and 830.37 is: 1,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.93 : 2,804.80 = 830.37 : x
  2. Step 2: Convert to fraction form
    1,871.93/2,804.80 = 830.37/x
  3. Step 3: Cross multiply
    1,871.93x = 2,804.80 × 830.37
  4. Step 4: Simplify right side
    1,871.93x = 2,329,021.78
  5. Step 5: Solve for x
    x = 2,329,021.78/1,871.93
  6. Step 6: Final answer
    x = 1,244.18

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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.