Home / 1,427.63-2,140.83-549.18

Finding the Fourth Proportional to 1,427.63, 2,140.83 and 549.18

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Solution

The fourth proportional to 1,427.63, 2,140.83 and 549.18 is: 823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.63 : 2,140.83 = 549.18 : x
  2. Step 2: Convert to fraction form
    1,427.63/2,140.83 = 549.18/x
  3. Step 3: Cross multiply
    1,427.63x = 2,140.83 × 549.18
  4. Step 4: Simplify right side
    1,427.63x = 1,175,701.02
  5. Step 5: Solve for x
    x = 1,175,701.02/1,427.63
  6. Step 6: Final answer
    x = 823.54

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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.