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Finding the Fourth Proportional to 5,412.40, 8,102.40 and 4,829.20

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Solution

The fourth proportional to 5,412.40, 8,102.40 and 4,829.20 is: 7,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.40 : 8,102.40 = 4,829.20 : x
  2. Step 2: Convert to fraction form
    5,412.40/8,102.40 = 4,829.20/x
  3. Step 3: Cross multiply
    5,412.40x = 8,102.40 × 4,829.20
  4. Step 4: Simplify right side
    5,412.40x = 39,128,110.08
  5. Step 5: Solve for x
    x = 39,128,110.08/5,412.40
  6. Step 6: Final answer
    x = 7,229.35

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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.