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Finding the Fourth Proportional to 7,235.69, 9,985.73 and 4,049.28

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Solution

The fourth proportional to 7,235.69, 9,985.73 and 4,049.28 is: 5,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.69 : 9,985.73 = 4,049.28 : x
  2. Step 2: Convert to fraction form
    7,235.69/9,985.73 = 4,049.28/x
  3. Step 3: Cross multiply
    7,235.69x = 9,985.73 × 4,049.28
  4. Step 4: Simplify right side
    7,235.69x = 40,434,996.53
  5. Step 5: Solve for x
    x = 40,434,996.53/7,235.69
  6. Step 6: Final answer
    x = 5,588.27

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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.