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Finding the Fourth Proportional to 2,101.41, 3,152.58 and 640.67

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Solution

The fourth proportional to 2,101.41, 3,152.58 and 640.67 is: 961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.41 : 3,152.58 = 640.67 : x
  2. Step 2: Convert to fraction form
    2,101.41/3,152.58 = 640.67/x
  3. Step 3: Cross multiply
    2,101.41x = 3,152.58 × 640.67
  4. Step 4: Simplify right side
    2,101.41x = 2,019,768.11
  5. Step 5: Solve for x
    x = 2,019,768.11/2,101.41
  6. Step 6: Final answer
    x = 961.15

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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.