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Finding the Fourth Proportional to 3,178.66, 4,386.08 and 1,815.83

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Solution

The fourth proportional to 3,178.66, 4,386.08 and 1,815.83 is: 2,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.66 : 4,386.08 = 1,815.83 : x
  2. Step 2: Convert to fraction form
    3,178.66/4,386.08 = 1,815.83/x
  3. Step 3: Cross multiply
    3,178.66x = 4,386.08 × 1,815.83
  4. Step 4: Simplify right side
    3,178.66x = 7,964,374.70
  5. Step 5: Solve for x
    x = 7,964,374.70/3,178.66
  6. Step 6: Final answer
    x = 2,505.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.