Home / 7,785.80-11,678.50-1,942.36

Finding the Fourth Proportional to 7,785.80, 11,678.50 and 1,942.36

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Solution

The fourth proportional to 7,785.80, 11,678.50 and 1,942.36 is: 2,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.80 : 11,678.50 = 1,942.36 : x
  2. Step 2: Convert to fraction form
    7,785.80/11,678.50 = 1,942.36/x
  3. Step 3: Cross multiply
    7,785.80x = 11,678.50 × 1,942.36
  4. Step 4: Simplify right side
    7,785.80x = 22,683,851.26
  5. Step 5: Solve for x
    x = 22,683,851.26/7,785.80
  6. Step 6: Final answer
    x = 2,913.49

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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.