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Finding the Fourth Proportional to 7,851, 10,836.81 and 5,056.50

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Solution

The fourth proportional to 7,851, 10,836.81 and 5,056.50 is: 6,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851 : 10,836.81 = 5,056.50 : x
  2. Step 2: Convert to fraction form
    7,851/10,836.81 = 5,056.50/x
  3. Step 3: Cross multiply
    7,851x = 10,836.81 × 5,056.50
  4. Step 4: Simplify right side
    7,851x = 54,796,329.77
  5. Step 5: Solve for x
    x = 54,796,329.77/7,851
  6. Step 6: Final answer
    x = 6,979.54

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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.