Home / 1,762.19-2,431.84-976.22

Finding the Fourth Proportional to 1,762.19, 2,431.84 and 976.22

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Solution

The fourth proportional to 1,762.19, 2,431.84 and 976.22 is: 1,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.19 : 2,431.84 = 976.22 : x
  2. Step 2: Convert to fraction form
    1,762.19/2,431.84 = 976.22/x
  3. Step 3: Cross multiply
    1,762.19x = 2,431.84 × 976.22
  4. Step 4: Simplify right side
    1,762.19x = 2,373,996.25
  5. Step 5: Solve for x
    x = 2,373,996.25/1,762.19
  6. Step 6: Final answer
    x = 1,347.19

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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.