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Finding the Fourth Proportional to 2,900.41, 4,002.75 and 1,640.99

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Solution

The fourth proportional to 2,900.41, 4,002.75 and 1,640.99 is: 2,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.41 : 4,002.75 = 1,640.99 : x
  2. Step 2: Convert to fraction form
    2,900.41/4,002.75 = 1,640.99/x
  3. Step 3: Cross multiply
    2,900.41x = 4,002.75 × 1,640.99
  4. Step 4: Simplify right side
    2,900.41x = 6,568,460.21
  5. Step 5: Solve for x
    x = 6,568,460.21/2,900.41
  6. Step 6: Final answer
    x = 2,264.67

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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.