Home / 1,970.87-2,954.57-1,047.11

Finding the Fourth Proportional to 1,970.87, 2,954.57 and 1,047.11

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Solution

The fourth proportional to 1,970.87, 2,954.57 and 1,047.11 is: 1,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.87 : 2,954.57 = 1,047.11 : x
  2. Step 2: Convert to fraction form
    1,970.87/2,954.57 = 1,047.11/x
  3. Step 3: Cross multiply
    1,970.87x = 2,954.57 × 1,047.11
  4. Step 4: Simplify right side
    1,970.87x = 3,093,739.78
  5. Step 5: Solve for x
    x = 3,093,739.78/1,970.87
  6. Step 6: Final answer
    x = 1,569.74

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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.