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Finding the Fourth Proportional to 14,285.92, 19,711.18 and 8,314

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Solution

The fourth proportional to 14,285.92, 19,711.18 and 8,314 is: 11,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.92 : 19,711.18 = 8,314 : x
  2. Step 2: Convert to fraction form
    14,285.92/19,711.18 = 8,314/x
  3. Step 3: Cross multiply
    14,285.92x = 19,711.18 × 8,314
  4. Step 4: Simplify right side
    14,285.92x = 163,878,750.52
  5. Step 5: Solve for x
    x = 163,878,750.52/14,285.92
  6. Step 6: Final answer
    x = 11,471.35

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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.