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Finding the Fourth Proportional to 5,720, 8,532.76 and 4,847.96

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Solution

The fourth proportional to 5,720, 8,532.76 and 4,847.96 is: 7,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720 : 8,532.76 = 4,847.96 : x
  2. Step 2: Convert to fraction form
    5,720/8,532.76 = 4,847.96/x
  3. Step 3: Cross multiply
    5,720x = 8,532.76 × 4,847.96
  4. Step 4: Simplify right side
    5,720x = 41,366,479.17
  5. Step 5: Solve for x
    x = 41,366,479.17/5,720
  6. Step 6: Final answer
    x = 7,231.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.