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Finding the Fourth Proportional to 3,280.99, 4,921.68 and 972.67

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Solution

The fourth proportional to 3,280.99, 4,921.68 and 972.67 is: 1,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.99 : 4,921.68 = 972.67 : x
  2. Step 2: Convert to fraction form
    3,280.99/4,921.68 = 972.67/x
  3. Step 3: Cross multiply
    3,280.99x = 4,921.68 × 972.67
  4. Step 4: Simplify right side
    3,280.99x = 4,787,170.49
  5. Step 5: Solve for x
    x = 4,787,170.49/3,280.99
  6. Step 6: Final answer
    x = 1,459.06

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Double scale
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Similar ratio
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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.