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Finding the Fourth Proportional to 14,485, 19,989.54 and 7,861

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Solution

The fourth proportional to 14,485, 19,989.54 and 7,861 is: 10,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485 : 19,989.54 = 7,861 : x
  2. Step 2: Convert to fraction form
    14,485/19,989.54 = 7,861/x
  3. Step 3: Cross multiply
    14,485x = 19,989.54 × 7,861
  4. Step 4: Simplify right side
    14,485x = 157,137,773.94
  5. Step 5: Solve for x
    x = 157,137,773.94/14,485
  6. Step 6: Final answer
    x = 10,848.31

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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.