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Finding the Fourth Proportional to 11,319.84, 16,994.40 and 8,724.48

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Solution

The fourth proportional to 11,319.84, 16,994.40 and 8,724.48 is: 13,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319.84 : 16,994.40 = 8,724.48 : x
  2. Step 2: Convert to fraction form
    11,319.84/16,994.40 = 8,724.48/x
  3. Step 3: Cross multiply
    11,319.84x = 16,994.40 × 8,724.48
  4. Step 4: Simplify right side
    11,319.84x = 148,267,302.91
  5. Step 5: Solve for x
    x = 148,267,302.91/11,319.84
  6. Step 6: Final answer
    x = 13,098.00

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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.