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Finding the Fourth Proportional to 9,992.40, 14,976.60 and 6,872.40

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Solution

The fourth proportional to 9,992.40, 14,976.60 and 6,872.40 is: 10,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.40 : 14,976.60 = 6,872.40 : x
  2. Step 2: Convert to fraction form
    9,992.40/14,976.60 = 6,872.40/x
  3. Step 3: Cross multiply
    9,992.40x = 14,976.60 × 6,872.40
  4. Step 4: Simplify right side
    9,992.40x = 102,925,185.84
  5. Step 5: Solve for x
    x = 102,925,185.84/9,992.40
  6. Step 6: Final answer
    x = 10,300.35

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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.