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Finding the Fourth Proportional to 7,102.87, 9,802.00 and 4,120.47

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Solution

The fourth proportional to 7,102.87, 9,802.00 and 4,120.47 is: 5,686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.87 : 9,802.00 = 4,120.47 : x
  2. Step 2: Convert to fraction form
    7,102.87/9,802.00 = 4,120.47/x
  3. Step 3: Cross multiply
    7,102.87x = 9,802.00 × 4,120.47
  4. Step 4: Simplify right side
    7,102.87x = 40,388,777.33
  5. Step 5: Solve for x
    x = 40,388,777.33/7,102.87
  6. Step 6: Final answer
    x = 5,686.26

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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.