Home / 1,971.28-2,954.40-1,047.28

Finding the Fourth Proportional to 1,971.28, 2,954.40 and 1,047.28

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Solution

The fourth proportional to 1,971.28, 2,954.40 and 1,047.28 is: 1,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.28 : 2,954.40 = 1,047.28 : x
  2. Step 2: Convert to fraction form
    1,971.28/2,954.40 = 1,047.28/x
  3. Step 3: Cross multiply
    1,971.28x = 2,954.40 × 1,047.28
  4. Step 4: Simplify right side
    1,971.28x = 3,094,069.26
  5. Step 5: Solve for x
    x = 3,094,069.26/1,971.28
  6. Step 6: Final answer
    x = 1,569.58

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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.