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Finding the Fourth Proportional to 5,149.40, 7,106.62 and 4,308.62

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Solution

The fourth proportional to 5,149.40, 7,106.62 and 4,308.62 is: 5,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.40 : 7,106.62 = 4,308.62 : x
  2. Step 2: Convert to fraction form
    5,149.40/7,106.62 = 4,308.62/x
  3. Step 3: Cross multiply
    5,149.40x = 7,106.62 × 4,308.62
  4. Step 4: Simplify right side
    5,149.40x = 30,619,725.06
  5. Step 5: Solve for x
    x = 30,619,725.06/5,149.40
  6. Step 6: Final answer
    x = 5,946.27

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