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Finding the Fourth Proportional to 2,007.12, 3,009.91 and 690.63

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Solution

The fourth proportional to 2,007.12, 3,009.91 and 690.63 is: 1,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.12 : 3,009.91 = 690.63 : x
  2. Step 2: Convert to fraction form
    2,007.12/3,009.91 = 690.63/x
  3. Step 3: Cross multiply
    2,007.12x = 3,009.91 × 690.63
  4. Step 4: Simplify right side
    2,007.12x = 2,078,715.64
  5. Step 5: Solve for x
    x = 2,078,715.64/2,007.12
  6. Step 6: Final answer
    x = 1,035.67

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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.