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Finding the Fourth Proportional to 3,074, 4,242.12 and 1,970

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Solution

The fourth proportional to 3,074, 4,242.12 and 1,970 is: 2,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074 : 4,242.12 = 1,970 : x
  2. Step 2: Convert to fraction form
    3,074/4,242.12 = 1,970/x
  3. Step 3: Cross multiply
    3,074x = 4,242.12 × 1,970
  4. Step 4: Simplify right side
    3,074x = 8,356,976.40
  5. Step 5: Solve for x
    x = 8,356,976.40/3,074
  6. Step 6: Final answer
    x = 2,718.60

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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.