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Finding the Fourth Proportional to 7,285, 10,053.42 and 3,973

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Solution

The fourth proportional to 7,285, 10,053.42 and 3,973 is: 5,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285 : 10,053.42 = 3,973 : x
  2. Step 2: Convert to fraction form
    7,285/10,053.42 = 3,973/x
  3. Step 3: Cross multiply
    7,285x = 10,053.42 × 3,973
  4. Step 4: Simplify right side
    7,285x = 39,942,237.66
  5. Step 5: Solve for x
    x = 39,942,237.66/7,285
  6. Step 6: Final answer
    x = 5,482.81

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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.