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Finding the Fourth Proportional to 14,387.76, 19,856.88 and 8,100

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Solution

The fourth proportional to 14,387.76, 19,856.88 and 8,100 is: 11,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.76 : 19,856.88 = 8,100 : x
  2. Step 2: Convert to fraction form
    14,387.76/19,856.88 = 8,100/x
  3. Step 3: Cross multiply
    14,387.76x = 19,856.88 × 8,100
  4. Step 4: Simplify right side
    14,387.76x = 160,840,728
  5. Step 5: Solve for x
    x = 160,840,728/14,387.76
  6. Step 6: Final answer
    x = 11,179.00

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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.