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Finding the Fourth Proportional to 4,385, 6,580.74 and 2,076.50

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Solution

The fourth proportional to 4,385, 6,580.74 and 2,076.50 is: 3,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385 : 6,580.74 = 2,076.50 : x
  2. Step 2: Convert to fraction form
    4,385/6,580.74 = 2,076.50/x
  3. Step 3: Cross multiply
    4,385x = 6,580.74 × 2,076.50
  4. Step 4: Simplify right side
    4,385x = 13,664,906.61
  5. Step 5: Solve for x
    x = 13,664,906.61/4,385
  6. Step 6: Final answer
    x = 3,116.28

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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.