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Finding the Fourth Proportional to 1,626.98, 2,245.14 and 918.81

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Solution

The fourth proportional to 1,626.98, 2,245.14 and 918.81 is: 1,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.98 : 2,245.14 = 918.81 : x
  2. Step 2: Convert to fraction form
    1,626.98/2,245.14 = 918.81/x
  3. Step 3: Cross multiply
    1,626.98x = 2,245.14 × 918.81
  4. Step 4: Simplify right side
    1,626.98x = 2,062,857.08
  5. Step 5: Solve for x
    x = 2,062,857.08/1,626.98
  6. Step 6: Final answer
    x = 1,267.91

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1.5x scale

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.