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Finding the Fourth Proportional to 7,199, 10,798.50 and 2,005.01

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Solution

The fourth proportional to 7,199, 10,798.50 and 2,005.01 is: 3,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199 : 10,798.50 = 2,005.01 : x
  2. Step 2: Convert to fraction form
    7,199/10,798.50 = 2,005.01/x
  3. Step 3: Cross multiply
    7,199x = 10,798.50 × 2,005.01
  4. Step 4: Simplify right side
    7,199x = 21,651,100.49
  5. Step 5: Solve for x
    x = 21,651,100.49/7,199
  6. Step 6: Final answer
    x = 3,007.52

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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.