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Finding the Fourth Proportional to 3,078, 4,617.90 and 1,130.22

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Solution

The fourth proportional to 3,078, 4,617.90 and 1,130.22 is: 1,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 4,617.90 = 1,130.22 : x
  2. Step 2: Convert to fraction form
    3,078/4,617.90 = 1,130.22/x
  3. Step 3: Cross multiply
    3,078x = 4,617.90 × 1,130.22
  4. Step 4: Simplify right side
    3,078x = 5,219,242.94
  5. Step 5: Solve for x
    x = 5,219,242.94/3,078
  6. Step 6: Final answer
    x = 1,695.66

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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.