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Finding the Fourth Proportional to 2,014.49, 3,022.74 and 918.63

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Solution

The fourth proportional to 2,014.49, 3,022.74 and 918.63 is: 1,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.49 : 3,022.74 = 918.63 : x
  2. Step 2: Convert to fraction form
    2,014.49/3,022.74 = 918.63/x
  3. Step 3: Cross multiply
    2,014.49x = 3,022.74 × 918.63
  4. Step 4: Simplify right side
    2,014.49x = 2,776,779.65
  5. Step 5: Solve for x
    x = 2,776,779.65/2,014.49
  6. Step 6: Final answer
    x = 1,378.40

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1.5x scale

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.