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Finding the Fourth Proportional to 5,382.98, 7,429.86 and 3,288.86

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Solution

The fourth proportional to 5,382.98, 7,429.86 and 3,288.86 is: 4,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.98 : 7,429.86 = 3,288.86 : x
  2. Step 2: Convert to fraction form
    5,382.98/7,429.86 = 3,288.86/x
  3. Step 3: Cross multiply
    5,382.98x = 7,429.86 × 3,288.86
  4. Step 4: Simplify right side
    5,382.98x = 24,435,769.36
  5. Step 5: Solve for x
    x = 24,435,769.36/5,382.98
  6. Step 6: Final answer
    x = 4,539.45

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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.