Home / 1,762.02-2,431.61-976.11

Finding the Fourth Proportional to 1,762.02, 2,431.61 and 976.11

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Solution

The fourth proportional to 1,762.02, 2,431.61 and 976.11 is: 1,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.02 : 2,431.61 = 976.11 : x
  2. Step 2: Convert to fraction form
    1,762.02/2,431.61 = 976.11/x
  3. Step 3: Cross multiply
    1,762.02x = 2,431.61 × 976.11
  4. Step 4: Simplify right side
    1,762.02x = 2,373,513.96
  5. Step 5: Solve for x
    x = 2,373,513.96/1,762.02
  6. Step 6: Final answer
    x = 1,347.04

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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.