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Finding the Fourth Proportional to 5,220.32, 7,830.46 and 1,760

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Solution

The fourth proportional to 5,220.32, 7,830.46 and 1,760 is: 2,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.32 : 7,830.46 = 1,760 : x
  2. Step 2: Convert to fraction form
    5,220.32/7,830.46 = 1,760/x
  3. Step 3: Cross multiply
    5,220.32x = 7,830.46 × 1,760
  4. Step 4: Simplify right side
    5,220.32x = 13,781,609.60
  5. Step 5: Solve for x
    x = 13,781,609.60/5,220.32
  6. Step 6: Final answer
    x = 2,639.99

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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.