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Finding the Fourth Proportional to 7,321, 10,102.98 and 4,009

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Solution

The fourth proportional to 7,321, 10,102.98 and 4,009 is: 5,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321 : 10,102.98 = 4,009 : x
  2. Step 2: Convert to fraction form
    7,321/10,102.98 = 4,009/x
  3. Step 3: Cross multiply
    7,321x = 10,102.98 × 4,009
  4. Step 4: Simplify right side
    7,321x = 40,502,846.82
  5. Step 5: Solve for x
    x = 40,502,846.82/7,321
  6. Step 6: Final answer
    x = 5,532.42

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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.