Home / 1,679.29-2,317.36-971.16

Finding the Fourth Proportional to 1,679.29, 2,317.36 and 971.16

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Solution

The fourth proportional to 1,679.29, 2,317.36 and 971.16 is: 1,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.29 : 2,317.36 = 971.16 : x
  2. Step 2: Convert to fraction form
    1,679.29/2,317.36 = 971.16/x
  3. Step 3: Cross multiply
    1,679.29x = 2,317.36 × 971.16
  4. Step 4: Simplify right side
    1,679.29x = 2,250,527.34
  5. Step 5: Solve for x
    x = 2,250,527.34/1,679.29
  6. Step 6: Final answer
    x = 1,340.17

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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.