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Finding the Fourth Proportional to 9,290.70, 13,929.30 and 4,357.80

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Solution

The fourth proportional to 9,290.70, 13,929.30 and 4,357.80 is: 6,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.70 : 13,929.30 = 4,357.80 : x
  2. Step 2: Convert to fraction form
    9,290.70/13,929.30 = 4,357.80/x
  3. Step 3: Cross multiply
    9,290.70x = 13,929.30 × 4,357.80
  4. Step 4: Simplify right side
    9,290.70x = 60,701,103.54
  5. Step 5: Solve for x
    x = 60,701,103.54/9,290.70
  6. Step 6: Final answer
    x = 6,533.53

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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.