Home / 1,427.40-2,140.74-561.72

Finding the Fourth Proportional to 1,427.40, 2,140.74 and 561.72

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Solution

The fourth proportional to 1,427.40, 2,140.74 and 561.72 is: 842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.40 : 2,140.74 = 561.72 : x
  2. Step 2: Convert to fraction form
    1,427.40/2,140.74 = 561.72/x
  3. Step 3: Cross multiply
    1,427.40x = 2,140.74 × 561.72
  4. Step 4: Simplify right side
    1,427.40x = 1,202,496.47
  5. Step 5: Solve for x
    x = 1,202,496.47/1,427.40
  6. Step 6: Final answer
    x = 842.44

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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.