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Finding the Fourth Proportional to 5,056.84, 6,978.95 and 2,819.08

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Solution

The fourth proportional to 5,056.84, 6,978.95 and 2,819.08 is: 3,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.84 : 6,978.95 = 2,819.08 : x
  2. Step 2: Convert to fraction form
    5,056.84/6,978.95 = 2,819.08/x
  3. Step 3: Cross multiply
    5,056.84x = 6,978.95 × 2,819.08
  4. Step 4: Simplify right side
    5,056.84x = 19,674,218.37
  5. Step 5: Solve for x
    x = 19,674,218.37/5,056.84
  6. Step 6: Final answer
    x = 3,890.62

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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.