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Finding the Fourth Proportional to 7,836, 11,753.35 and 3,152.70

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Solution

The fourth proportional to 7,836, 11,753.35 and 3,152.70 is: 4,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836 : 11,753.35 = 3,152.70 : x
  2. Step 2: Convert to fraction form
    7,836/11,753.35 = 3,152.70/x
  3. Step 3: Cross multiply
    7,836x = 11,753.35 × 3,152.70
  4. Step 4: Simplify right side
    7,836x = 37,054,786.55
  5. Step 5: Solve for x
    x = 37,054,786.55/7,836
  6. Step 6: Final answer
    x = 4,728.79

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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.