Home / 1,970.16-2,954.26-1,148.64

Finding the Fourth Proportional to 1,970.16, 2,954.26 and 1,148.64

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Solution

The fourth proportional to 1,970.16, 2,954.26 and 1,148.64 is: 1,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.16 : 2,954.26 = 1,148.64 : x
  2. Step 2: Convert to fraction form
    1,970.16/2,954.26 = 1,148.64/x
  3. Step 3: Cross multiply
    1,970.16x = 2,954.26 × 1,148.64
  4. Step 4: Simplify right side
    1,970.16x = 3,393,381.21
  5. Step 5: Solve for x
    x = 3,393,381.21/1,970.16
  6. Step 6: Final answer
    x = 1,722.39

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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.