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Finding the Fourth Proportional to 7,173, 9,898.83 and 4,340.43

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Solution

The fourth proportional to 7,173, 9,898.83 and 4,340.43 is: 5,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173 : 9,898.83 = 4,340.43 : x
  2. Step 2: Convert to fraction form
    7,173/9,898.83 = 4,340.43/x
  3. Step 3: Cross multiply
    7,173x = 9,898.83 × 4,340.43
  4. Step 4: Simplify right side
    7,173x = 42,965,178.70
  5. Step 5: Solve for x
    x = 42,965,178.70/7,173
  6. Step 6: Final answer
    x = 5,989.85

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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.