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Finding the Fourth Proportional to 14,601.40, 21,918.30 and 8,040.40

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Solution

The fourth proportional to 14,601.40, 21,918.30 and 8,040.40 is: 12,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.40 : 21,918.30 = 8,040.40 : x
  2. Step 2: Convert to fraction form
    14,601.40/21,918.30 = 8,040.40/x
  3. Step 3: Cross multiply
    14,601.40x = 21,918.30 × 8,040.40
  4. Step 4: Simplify right side
    14,601.40x = 176,231,899.32
  5. Step 5: Solve for x
    x = 176,231,899.32/14,601.40
  6. Step 6: Final answer
    x = 12,069.52

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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.