Home / 1,762.16-2,431.70-976.20

Finding the Fourth Proportional to 1,762.16, 2,431.70 and 976.20

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Solution

The fourth proportional to 1,762.16, 2,431.70 and 976.20 is: 1,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.16 : 2,431.70 = 976.20 : x
  2. Step 2: Convert to fraction form
    1,762.16/2,431.70 = 976.20/x
  3. Step 3: Cross multiply
    1,762.16x = 2,431.70 × 976.20
  4. Step 4: Simplify right side
    1,762.16x = 2,373,825.54
  5. Step 5: Solve for x
    x = 2,373,825.54/1,762.16
  6. Step 6: Final answer
    x = 1,347.11

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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.