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Finding the Fourth Proportional to 13,178.32, 18,186 and 7,210

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Solution

The fourth proportional to 13,178.32, 18,186 and 7,210 is: 9,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.32 : 18,186 = 7,210 : x
  2. Step 2: Convert to fraction form
    13,178.32/18,186 = 7,210/x
  3. Step 3: Cross multiply
    13,178.32x = 18,186 × 7,210
  4. Step 4: Simplify right side
    13,178.32x = 131,121,060
  5. Step 5: Solve for x
    x = 131,121,060/13,178.32
  6. Step 6: Final answer
    x = 9,949.76

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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.