Home / 1,655.82-2,287.62-1,409.76

Finding the Fourth Proportional to 1,655.82, 2,287.62 and 1,409.76

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Solution

The fourth proportional to 1,655.82, 2,287.62 and 1,409.76 is: 1,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.82 : 2,287.62 = 1,409.76 : x
  2. Step 2: Convert to fraction form
    1,655.82/2,287.62 = 1,409.76/x
  3. Step 3: Cross multiply
    1,655.82x = 2,287.62 × 1,409.76
  4. Step 4: Simplify right side
    1,655.82x = 3,224,995.17
  5. Step 5: Solve for x
    x = 3,224,995.17/1,655.82
  6. Step 6: Final answer
    x = 1,947.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.