Home / 1,762.25-2,431.91-976.35

Finding the Fourth Proportional to 1,762.25, 2,431.91 and 976.35

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Solution

The fourth proportional to 1,762.25, 2,431.91 and 976.35 is: 1,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.25 : 2,431.91 = 976.35 : x
  2. Step 2: Convert to fraction form
    1,762.25/2,431.91 = 976.35/x
  3. Step 3: Cross multiply
    1,762.25x = 2,431.91 × 976.35
  4. Step 4: Simplify right side
    1,762.25x = 2,374,390.45
  5. Step 5: Solve for x
    x = 2,374,390.45/1,762.25
  6. Step 6: Final answer
    x = 1,347.36

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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.