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Finding the Fourth Proportional to 5,059.04, 6,978.84 and 3,378.56

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Solution

The fourth proportional to 5,059.04, 6,978.84 and 3,378.56 is: 4,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.04 : 6,978.84 = 3,378.56 : x
  2. Step 2: Convert to fraction form
    5,059.04/6,978.84 = 3,378.56/x
  3. Step 3: Cross multiply
    5,059.04x = 6,978.84 × 3,378.56
  4. Step 4: Simplify right side
    5,059.04x = 23,578,429.67
  5. Step 5: Solve for x
    x = 23,578,429.67/5,059.04
  6. Step 6: Final answer
    x = 4,660.65

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1.5x scale

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.