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Finding the Fourth Proportional to 4,074, 6,106.86 and 1,605.42

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Solution

The fourth proportional to 4,074, 6,106.86 and 1,605.42 is: 2,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074 : 6,106.86 = 1,605.42 : x
  2. Step 2: Convert to fraction form
    4,074/6,106.86 = 1,605.42/x
  3. Step 3: Cross multiply
    4,074x = 6,106.86 × 1,605.42
  4. Step 4: Simplify right side
    4,074x = 9,804,075.18
  5. Step 5: Solve for x
    x = 9,804,075.18/4,074
  6. Step 6: Final answer
    x = 2,406.50

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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.