Home / 3,102.78-4,281.81-1,776.45

Finding the Fourth Proportional to 3,102.78, 4,281.81 and 1,776.45

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Solution

The fourth proportional to 3,102.78, 4,281.81 and 1,776.45 is: 2,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.78 : 4,281.81 = 1,776.45 : x
  2. Step 2: Convert to fraction form
    3,102.78/4,281.81 = 1,776.45/x
  3. Step 3: Cross multiply
    3,102.78x = 4,281.81 × 1,776.45
  4. Step 4: Simplify right side
    3,102.78x = 7,606,421.37
  5. Step 5: Solve for x
    x = 7,606,421.37/3,102.78
  6. Step 6: Final answer
    x = 2,451.49

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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.