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Finding the Fourth Proportional to 3,320.85, 4,981.93 and 980.90

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Solution

The fourth proportional to 3,320.85, 4,981.93 and 980.90 is: 1,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.85 : 4,981.93 = 980.90 : x
  2. Step 2: Convert to fraction form
    3,320.85/4,981.93 = 980.90/x
  3. Step 3: Cross multiply
    3,320.85x = 4,981.93 × 980.90
  4. Step 4: Simplify right side
    3,320.85x = 4,886,750.23
  5. Step 5: Solve for x
    x = 4,886,750.23/3,320.85
  6. Step 6: Final answer
    x = 1,471.54

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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.