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Finding the Fourth Proportional to 5,989.86, 8,984.32 and 2,478.96

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Solution

The fourth proportional to 5,989.86, 8,984.32 and 2,478.96 is: 3,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.86 : 8,984.32 = 2,478.96 : x
  2. Step 2: Convert to fraction form
    5,989.86/8,984.32 = 2,478.96/x
  3. Step 3: Cross multiply
    5,989.86x = 8,984.32 × 2,478.96
  4. Step 4: Simplify right side
    5,989.86x = 22,271,769.91
  5. Step 5: Solve for x
    x = 22,271,769.91/5,989.86
  6. Step 6: Final answer
    x = 3,718.25

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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.