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Finding the Fourth Proportional to 5,678.91, 8,517.00 and 1,783.32

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Solution

The fourth proportional to 5,678.91, 8,517.00 and 1,783.32 is: 2,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.91 : 8,517.00 = 1,783.32 : x
  2. Step 2: Convert to fraction form
    5,678.91/8,517.00 = 1,783.32/x
  3. Step 3: Cross multiply
    5,678.91x = 8,517.00 × 1,783.32
  4. Step 4: Simplify right side
    5,678.91x = 15,188,501.16
  5. Step 5: Solve for x
    x = 15,188,501.16/5,678.91
  6. Step 6: Final answer
    x = 2,674.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.