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Finding the Fourth Proportional to 14,153.54, 19,530.94 and 7,780

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Solution

The fourth proportional to 14,153.54, 19,530.94 and 7,780 is: 10,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.54 : 19,530.94 = 7,780 : x
  2. Step 2: Convert to fraction form
    14,153.54/19,530.94 = 7,780/x
  3. Step 3: Cross multiply
    14,153.54x = 19,530.94 × 7,780
  4. Step 4: Simplify right side
    14,153.54x = 151,950,713.20
  5. Step 5: Solve for x
    x = 151,950,713.20/14,153.54
  6. Step 6: Final answer
    x = 10,735.88

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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.