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Finding the Fourth Proportional to 1,989.36, 2,742.02 and 1,428.92

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Solution

The fourth proportional to 1,989.36, 2,742.02 and 1,428.92 is: 1,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.36 : 2,742.02 = 1,428.92 : x
  2. Step 2: Convert to fraction form
    1,989.36/2,742.02 = 1,428.92/x
  3. Step 3: Cross multiply
    1,989.36x = 2,742.02 × 1,428.92
  4. Step 4: Simplify right side
    1,989.36x = 3,918,127.22
  5. Step 5: Solve for x
    x = 3,918,127.22/1,989.36
  6. Step 6: Final answer
    x = 1,969.54

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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.