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Finding the Fourth Proportional to 19,605.76, 29,409.92 and 14,356.48

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Solution

The fourth proportional to 19,605.76, 29,409.92 and 14,356.48 is: 21,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.76 : 29,409.92 = 14,356.48 : x
  2. Step 2: Convert to fraction form
    19,605.76/29,409.92 = 14,356.48/x
  3. Step 3: Cross multiply
    19,605.76x = 29,409.92 × 14,356.48
  4. Step 4: Simplify right side
    19,605.76x = 422,222,928.28
  5. Step 5: Solve for x
    x = 422,222,928.28/19,605.76
  6. Step 6: Final answer
    x = 21,535.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.