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Finding the Fourth Proportional to 30,206.26, 45,297.84 and 9,938.30

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Solution

The fourth proportional to 30,206.26, 45,297.84 and 9,938.30 is: 14,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.26 : 45,297.84 = 9,938.30 : x
  2. Step 2: Convert to fraction form
    30,206.26/45,297.84 = 9,938.30/x
  3. Step 3: Cross multiply
    30,206.26x = 45,297.84 × 9,938.30
  4. Step 4: Simplify right side
    30,206.26x = 450,183,296.78
  5. Step 5: Solve for x
    x = 450,183,296.78/30,206.26
  6. Step 6: Final answer
    x = 14,903.64

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1.5x scale

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.