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Finding the Fourth Proportional to 1,848, 2,771.46 and 549.16

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Solution

The fourth proportional to 1,848, 2,771.46 and 549.16 is: 823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848 : 2,771.46 = 549.16 : x
  2. Step 2: Convert to fraction form
    1,848/2,771.46 = 549.16/x
  3. Step 3: Cross multiply
    1,848x = 2,771.46 × 549.16
  4. Step 4: Simplify right side
    1,848x = 1,521,974.97
  5. Step 5: Solve for x
    x = 1,521,974.97/1,848
  6. Step 6: Final answer
    x = 823.58

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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.