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Finding the Fourth Proportional to 13,458, 18,573.66 and 7,869

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Solution

The fourth proportional to 13,458, 18,573.66 and 7,869 is: 10,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458 : 18,573.66 = 7,869 : x
  2. Step 2: Convert to fraction form
    13,458/18,573.66 = 7,869/x
  3. Step 3: Cross multiply
    13,458x = 18,573.66 × 7,869
  4. Step 4: Simplify right side
    13,458x = 146,156,130.54
  5. Step 5: Solve for x
    x = 146,156,130.54/13,458
  6. Step 6: Final answer
    x = 10,860.17

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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.