Home / 1,313.16-1,982.28-1,305.88

Finding the Fourth Proportional to 1,313.16, 1,982.28 and 1,305.88

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Solution

The fourth proportional to 1,313.16, 1,982.28 and 1,305.88 is: 1,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.16 : 1,982.28 = 1,305.88 : x
  2. Step 2: Convert to fraction form
    1,313.16/1,982.28 = 1,305.88/x
  3. Step 3: Cross multiply
    1,313.16x = 1,982.28 × 1,305.88
  4. Step 4: Simplify right side
    1,313.16x = 2,588,619.81
  5. Step 5: Solve for x
    x = 2,588,619.81/1,313.16
  6. Step 6: Final answer
    x = 1,971.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.