Home / 2,977-4,105.06-2,045.16

Finding the Fourth Proportional to 2,977, 4,105.06 and 2,045.16

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Solution

The fourth proportional to 2,977, 4,105.06 and 2,045.16 is: 2,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977 : 4,105.06 = 2,045.16 : x
  2. Step 2: Convert to fraction form
    2,977/4,105.06 = 2,045.16/x
  3. Step 3: Cross multiply
    2,977x = 4,105.06 × 2,045.16
  4. Step 4: Simplify right side
    2,977x = 8,395,504.51
  5. Step 5: Solve for x
    x = 8,395,504.51/2,977
  6. Step 6: Final answer
    x = 2,820.12

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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.