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Finding the Fourth Proportional to 2,999.99, 4,140.69 and 2,005.67

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Solution

The fourth proportional to 2,999.99, 4,140.69 and 2,005.67 is: 2,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.99 : 4,140.69 = 2,005.67 : x
  2. Step 2: Convert to fraction form
    2,999.99/4,140.69 = 2,005.67/x
  3. Step 3: Cross multiply
    2,999.99x = 4,140.69 × 2,005.67
  4. Step 4: Simplify right side
    2,999.99x = 8,304,857.71
  5. Step 5: Solve for x
    x = 8,304,857.71/2,999.99
  6. Step 6: Final answer
    x = 2,768.30

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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.