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Finding the Fourth Proportional to 14,481, 19,983.78 and 7,857

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Solution

The fourth proportional to 14,481, 19,983.78 and 7,857 is: 10,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481 : 19,983.78 = 7,857 : x
  2. Step 2: Convert to fraction form
    14,481/19,983.78 = 7,857/x
  3. Step 3: Cross multiply
    14,481x = 19,983.78 × 7,857
  4. Step 4: Simplify right side
    14,481x = 157,012,559.46
  5. Step 5: Solve for x
    x = 157,012,559.46/14,481
  6. Step 6: Final answer
    x = 10,842.66

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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.