Home / 1,427.67-2,140.23-561.78

Finding the Fourth Proportional to 1,427.67, 2,140.23 and 561.78

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Solution

The fourth proportional to 1,427.67, 2,140.23 and 561.78 is: 842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.67 : 2,140.23 = 561.78 : x
  2. Step 2: Convert to fraction form
    1,427.67/2,140.23 = 561.78/x
  3. Step 3: Cross multiply
    1,427.67x = 2,140.23 × 561.78
  4. Step 4: Simplify right side
    1,427.67x = 1,202,338.41
  5. Step 5: Solve for x
    x = 1,202,338.41/1,427.67
  6. Step 6: Final answer
    x = 842.17

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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.