Home / 1,416.80-2,114.92-1,309.88

Finding the Fourth Proportional to 1,416.80, 2,114.92 and 1,309.88

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Solution

The fourth proportional to 1,416.80, 2,114.92 and 1,309.88 is: 1,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.80 : 2,114.92 = 1,309.88 : x
  2. Step 2: Convert to fraction form
    1,416.80/2,114.92 = 1,309.88/x
  3. Step 3: Cross multiply
    1,416.80x = 2,114.92 × 1,309.88
  4. Step 4: Simplify right side
    1,416.80x = 2,770,291.41
  5. Step 5: Solve for x
    x = 2,770,291.41/1,416.80
  6. Step 6: Final answer
    x = 1,955.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.