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Finding the Fourth Proportional to 14,310, 19,747.80 and 8,724.24

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Solution

The fourth proportional to 14,310, 19,747.80 and 8,724.24 is: 12,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310 : 19,747.80 = 8,724.24 : x
  2. Step 2: Convert to fraction form
    14,310/19,747.80 = 8,724.24/x
  3. Step 3: Cross multiply
    14,310x = 19,747.80 × 8,724.24
  4. Step 4: Simplify right side
    14,310x = 172,284,546.67
  5. Step 5: Solve for x
    x = 172,284,546.67/14,310
  6. Step 6: Final answer
    x = 12,039.45

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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.