Home / 1,678.27-2,504.64-1,566.87

Finding the Fourth Proportional to 1,678.27, 2,504.64 and 1,566.87

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Solution

The fourth proportional to 1,678.27, 2,504.64 and 1,566.87 is: 2,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.27 : 2,504.64 = 1,566.87 : x
  2. Step 2: Convert to fraction form
    1,678.27/2,504.64 = 1,566.87/x
  3. Step 3: Cross multiply
    1,678.27x = 2,504.64 × 1,566.87
  4. Step 4: Simplify right side
    1,678.27x = 3,924,445.28
  5. Step 5: Solve for x
    x = 3,924,445.28/1,678.27
  6. Step 6: Final answer
    x = 2,338.39

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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.