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Finding the Fourth Proportional to 1,848.61, 2,774.73 and 1,119.61

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Solution

The fourth proportional to 1,848.61, 2,774.73 and 1,119.61 is: 1,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.61 : 2,774.73 = 1,119.61 : x
  2. Step 2: Convert to fraction form
    1,848.61/2,774.73 = 1,119.61/x
  3. Step 3: Cross multiply
    1,848.61x = 2,774.73 × 1,119.61
  4. Step 4: Simplify right side
    1,848.61x = 3,106,623.12
  5. Step 5: Solve for x
    x = 3,106,623.12/1,848.61
  6. Step 6: Final answer
    x = 1,680.52

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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.