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Finding the Fourth Proportional to 1,885.15, 2,830.94 and 1,228.15

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Solution

The fourth proportional to 1,885.15, 2,830.94 and 1,228.15 is: 1,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.15 : 2,830.94 = 1,228.15 : x
  2. Step 2: Convert to fraction form
    1,885.15/2,830.94 = 1,228.15/x
  3. Step 3: Cross multiply
    1,885.15x = 2,830.94 × 1,228.15
  4. Step 4: Simplify right side
    1,885.15x = 3,476,798.67
  5. Step 5: Solve for x
    x = 3,476,798.67/1,885.15
  6. Step 6: Final answer
    x = 1,844.31

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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.