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Finding the Fourth Proportional to 14,462, 19,957.56 and 7,838

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Solution

The fourth proportional to 14,462, 19,957.56 and 7,838 is: 10,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462 : 19,957.56 = 7,838 : x
  2. Step 2: Convert to fraction form
    14,462/19,957.56 = 7,838/x
  3. Step 3: Cross multiply
    14,462x = 19,957.56 × 7,838
  4. Step 4: Simplify right side
    14,462x = 156,427,355.28
  5. Step 5: Solve for x
    x = 156,427,355.28/14,462
  6. Step 6: Final answer
    x = 10,816.44

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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.