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Finding the Fourth Proportional to 1,609.21, 2,220.90 and 980.11

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Solution

The fourth proportional to 1,609.21, 2,220.90 and 980.11 is: 1,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.21 : 2,220.90 = 980.11 : x
  2. Step 2: Convert to fraction form
    1,609.21/2,220.90 = 980.11/x
  3. Step 3: Cross multiply
    1,609.21x = 2,220.90 × 980.11
  4. Step 4: Simplify right side
    1,609.21x = 2,176,724.67
  5. Step 5: Solve for x
    x = 2,176,724.67/1,609.21
  6. Step 6: Final answer
    x = 1,352.66

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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.