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Finding the Fourth Proportional to 12,245.56, 16,898.94 and 7,210

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Solution

The fourth proportional to 12,245.56, 16,898.94 and 7,210 is: 9,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.56 : 16,898.94 = 7,210 : x
  2. Step 2: Convert to fraction form
    12,245.56/16,898.94 = 7,210/x
  3. Step 3: Cross multiply
    12,245.56x = 16,898.94 × 7,210
  4. Step 4: Simplify right side
    12,245.56x = 121,841,357.40
  5. Step 5: Solve for x
    x = 121,841,357.40/12,245.56
  6. Step 6: Final answer
    x = 9,949.84

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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.