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Finding the Fourth Proportional to 14,323.12, 21,490.84 and 7,754

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Solution

The fourth proportional to 14,323.12, 21,490.84 and 7,754 is: 11,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.12 : 21,490.84 = 7,754 : x
  2. Step 2: Convert to fraction form
    14,323.12/21,490.84 = 7,754/x
  3. Step 3: Cross multiply
    14,323.12x = 21,490.84 × 7,754
  4. Step 4: Simplify right side
    14,323.12x = 166,639,973.36
  5. Step 5: Solve for x
    x = 166,639,973.36/14,323.12
  6. Step 6: Final answer
    x = 11,634.33

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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.