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Finding the Fourth Proportional to 3,865.60, 5,798.40 and 2,483.20

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Solution

The fourth proportional to 3,865.60, 5,798.40 and 2,483.20 is: 3,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.60 : 5,798.40 = 2,483.20 : x
  2. Step 2: Convert to fraction form
    3,865.60/5,798.40 = 2,483.20/x
  3. Step 3: Cross multiply
    3,865.60x = 5,798.40 × 2,483.20
  4. Step 4: Simplify right side
    3,865.60x = 14,398,586.88
  5. Step 5: Solve for x
    x = 14,398,586.88/3,865.60
  6. Step 6: Final answer
    x = 3,724.80

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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.