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Finding the Fourth Proportional to 5,479.75, 8,220.02 and 1,584.46

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Solution

The fourth proportional to 5,479.75, 8,220.02 and 1,584.46 is: 2,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,479.75 : 8,220.02 = 1,584.46 : x
  2. Step 2: Convert to fraction form
    5,479.75/8,220.02 = 1,584.46/x
  3. Step 3: Cross multiply
    5,479.75x = 8,220.02 × 1,584.46
  4. Step 4: Simplify right side
    5,479.75x = 13,024,292.89
  5. Step 5: Solve for x
    x = 13,024,292.89/5,479.75
  6. Step 6: Final answer
    x = 2,376.80

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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.