Home / 1,427.02-2,140.42-549.94

Finding the Fourth Proportional to 1,427.02, 2,140.42 and 549.94

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Solution

The fourth proportional to 1,427.02, 2,140.42 and 549.94 is: 824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.02 : 2,140.42 = 549.94 : x
  2. Step 2: Convert to fraction form
    1,427.02/2,140.42 = 549.94/x
  3. Step 3: Cross multiply
    1,427.02x = 2,140.42 × 549.94
  4. Step 4: Simplify right side
    1,427.02x = 1,177,102.57
  5. Step 5: Solve for x
    x = 1,177,102.57/1,427.02
  6. Step 6: Final answer
    x = 824.87

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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.