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Finding the Fourth Proportional to 7,836, 10,814.16 and 4,299.76

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Solution

The fourth proportional to 7,836, 10,814.16 and 4,299.76 is: 5,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836 : 10,814.16 = 4,299.76 : x
  2. Step 2: Convert to fraction form
    7,836/10,814.16 = 4,299.76/x
  3. Step 3: Cross multiply
    7,836x = 10,814.16 × 4,299.76
  4. Step 4: Simplify right side
    7,836x = 46,498,292.60
  5. Step 5: Solve for x
    x = 46,498,292.60/7,836
  6. Step 6: Final answer
    x = 5,933.93

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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.