Home / 1,302.34-1,942.64-1,177.78

Finding the Fourth Proportional to 1,302.34, 1,942.64 and 1,177.78

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Solution

The fourth proportional to 1,302.34, 1,942.64 and 1,177.78 is: 1,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.34 : 1,942.64 = 1,177.78 : x
  2. Step 2: Convert to fraction form
    1,302.34/1,942.64 = 1,177.78/x
  3. Step 3: Cross multiply
    1,302.34x = 1,942.64 × 1,177.78
  4. Step 4: Simplify right side
    1,302.34x = 2,288,002.54
  5. Step 5: Solve for x
    x = 2,288,002.54/1,302.34
  6. Step 6: Final answer
    x = 1,756.84

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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.