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Finding the Fourth Proportional to 2,022.34, 3,030.88 and 980.32

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Solution

The fourth proportional to 2,022.34, 3,030.88 and 980.32 is: 1,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.34 : 3,030.88 = 980.32 : x
  2. Step 2: Convert to fraction form
    2,022.34/3,030.88 = 980.32/x
  3. Step 3: Cross multiply
    2,022.34x = 3,030.88 × 980.32
  4. Step 4: Simplify right side
    2,022.34x = 2,971,232.28
  5. Step 5: Solve for x
    x = 2,971,232.28/2,022.34
  6. Step 6: Final answer
    x = 1,469.21

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1.5x scale

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.