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Finding the Fourth Proportional to 7,003, 10,505.94 and 2,899

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Solution

The fourth proportional to 7,003, 10,505.94 and 2,899 is: 4,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003 : 10,505.94 = 2,899 : x
  2. Step 2: Convert to fraction form
    7,003/10,505.94 = 2,899/x
  3. Step 3: Cross multiply
    7,003x = 10,505.94 × 2,899
  4. Step 4: Simplify right side
    7,003x = 30,456,720.06
  5. Step 5: Solve for x
    x = 30,456,720.06/7,003
  6. Step 6: Final answer
    x = 4,349.10

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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.