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Finding the Fourth Proportional to 7,172.47, 9,898.94 and 4,028.66

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Solution

The fourth proportional to 7,172.47, 9,898.94 and 4,028.66 is: 5,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.47 : 9,898.94 = 4,028.66 : x
  2. Step 2: Convert to fraction form
    7,172.47/9,898.94 = 4,028.66/x
  3. Step 3: Cross multiply
    7,172.47x = 9,898.94 × 4,028.66
  4. Step 4: Simplify right side
    7,172.47x = 39,879,463.62
  5. Step 5: Solve for x
    x = 39,879,463.62/7,172.47
  6. Step 6: Final answer
    x = 5,560.07

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1.5x scale

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.