Home / 1,314.16-1,973.97-1,109.12

Finding the Fourth Proportional to 1,314.16, 1,973.97 and 1,109.12

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Solution

The fourth proportional to 1,314.16, 1,973.97 and 1,109.12 is: 1,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.16 : 1,973.97 = 1,109.12 : x
  2. Step 2: Convert to fraction form
    1,314.16/1,973.97 = 1,109.12/x
  3. Step 3: Cross multiply
    1,314.16x = 1,973.97 × 1,109.12
  4. Step 4: Simplify right side
    1,314.16x = 2,189,364.06
  5. Step 5: Solve for x
    x = 2,189,364.06/1,314.16
  6. Step 6: Final answer
    x = 1,665.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.