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Finding the Fourth Proportional to 3,580.70, 5,363.84 and 2,277.50

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Solution

The fourth proportional to 3,580.70, 5,363.84 and 2,277.50 is: 3,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.70 : 5,363.84 = 2,277.50 : x
  2. Step 2: Convert to fraction form
    3,580.70/5,363.84 = 2,277.50/x
  3. Step 3: Cross multiply
    3,580.70x = 5,363.84 × 2,277.50
  4. Step 4: Simplify right side
    3,580.70x = 12,216,145.60
  5. Step 5: Solve for x
    x = 12,216,145.60/3,580.70
  6. Step 6: Final answer
    x = 3,411.66

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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.