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Finding the Fourth Proportional to 3,285.78, 4,534.48 and 1,869.67

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Solution

The fourth proportional to 3,285.78, 4,534.48 and 1,869.67 is: 2,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.78 : 4,534.48 = 1,869.67 : x
  2. Step 2: Convert to fraction form
    3,285.78/4,534.48 = 1,869.67/x
  3. Step 3: Cross multiply
    3,285.78x = 4,534.48 × 1,869.67
  4. Step 4: Simplify right side
    3,285.78x = 8,478,001.98
  5. Step 5: Solve for x
    x = 8,478,001.98/3,285.78
  6. Step 6: Final answer
    x = 2,580.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.