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Finding the Fourth Proportional to 1,616.80, 2,231.14 and 918.18

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Solution

The fourth proportional to 1,616.80, 2,231.14 and 918.18 is: 1,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.80 : 2,231.14 = 918.18 : x
  2. Step 2: Convert to fraction form
    1,616.80/2,231.14 = 918.18/x
  3. Step 3: Cross multiply
    1,616.80x = 2,231.14 × 918.18
  4. Step 4: Simplify right side
    1,616.80x = 2,048,588.13
  5. Step 5: Solve for x
    x = 2,048,588.13/1,616.80
  6. Step 6: Final answer
    x = 1,267.06

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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.