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Finding the Fourth Proportional to 2,173.96, 2,999.73 and 1,428.22

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Solution

The fourth proportional to 2,173.96, 2,999.73 and 1,428.22 is: 1,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.96 : 2,999.73 = 1,428.22 : x
  2. Step 2: Convert to fraction form
    2,173.96/2,999.73 = 1,428.22/x
  3. Step 3: Cross multiply
    2,173.96x = 2,999.73 × 1,428.22
  4. Step 4: Simplify right side
    2,173.96x = 4,284,274.38
  5. Step 5: Solve for x
    x = 4,284,274.38/2,173.96
  6. Step 6: Final answer
    x = 1,970.72

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1.5x scale

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.