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Finding the Fourth Proportional to 14,283.54, 19,713.78 and 8,981.28

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Solution

The fourth proportional to 14,283.54, 19,713.78 and 8,981.28 is: 12,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.54 : 19,713.78 = 8,981.28 : x
  2. Step 2: Convert to fraction form
    14,283.54/19,713.78 = 8,981.28/x
  3. Step 3: Cross multiply
    14,283.54x = 19,713.78 × 8,981.28
  4. Step 4: Simplify right side
    14,283.54x = 177,054,978.04
  5. Step 5: Solve for x
    x = 177,054,978.04/14,283.54
  6. Step 6: Final answer
    x = 12,395.74

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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.