Home / 1,369.83-2,054.75-1,164.09

Finding the Fourth Proportional to 1,369.83, 2,054.75 and 1,164.09

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Solution

The fourth proportional to 1,369.83, 2,054.75 and 1,164.09 is: 1,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.83 : 2,054.75 = 1,164.09 : x
  2. Step 2: Convert to fraction form
    1,369.83/2,054.75 = 1,164.09/x
  3. Step 3: Cross multiply
    1,369.83x = 2,054.75 × 1,164.09
  4. Step 4: Simplify right side
    1,369.83x = 2,391,908.11
  5. Step 5: Solve for x
    x = 2,391,908.11/1,369.83
  6. Step 6: Final answer
    x = 1,746.14

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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.