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Finding the Fourth Proportional to 5,429, 8,135.40 and 3,479.60

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Solution

The fourth proportional to 5,429, 8,135.40 and 3,479.60 is: 5,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429 : 8,135.40 = 3,479.60 : x
  2. Step 2: Convert to fraction form
    5,429/8,135.40 = 3,479.60/x
  3. Step 3: Cross multiply
    5,429x = 8,135.40 × 3,479.60
  4. Step 4: Simplify right side
    5,429x = 28,307,937.84
  5. Step 5: Solve for x
    x = 28,307,937.84/5,429
  6. Step 6: Final answer
    x = 5,214.21

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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.