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Finding the Fourth Proportional to 2,057.13, 2,838.65 and 1,173.22

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Solution

The fourth proportional to 2,057.13, 2,838.65 and 1,173.22 is: 1,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.13 : 2,838.65 = 1,173.22 : x
  2. Step 2: Convert to fraction form
    2,057.13/2,838.65 = 1,173.22/x
  3. Step 3: Cross multiply
    2,057.13x = 2,838.65 × 1,173.22
  4. Step 4: Simplify right side
    2,057.13x = 3,330,347.99
  5. Step 5: Solve for x
    x = 3,330,347.99/2,057.13
  6. Step 6: Final answer
    x = 1,618.93

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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.