Home / 3,186.16-4,777.16-1,106

Finding the Fourth Proportional to 3,186.16, 4,777.16 and 1,106

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Solution

The fourth proportional to 3,186.16, 4,777.16 and 1,106 is: 1,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.16 : 4,777.16 = 1,106 : x
  2. Step 2: Convert to fraction form
    3,186.16/4,777.16 = 1,106/x
  3. Step 3: Cross multiply
    3,186.16x = 4,777.16 × 1,106
  4. Step 4: Simplify right side
    3,186.16x = 5,283,541.73
  5. Step 5: Solve for x
    x = 5,283,541.73/3,186.16
  6. Step 6: Final answer
    x = 1,658.28

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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.