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Finding the Fourth Proportional to 12,308.36, 16,982.51 and 7,203.08

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Solution

The fourth proportional to 12,308.36, 16,982.51 and 7,203.08 is: 9,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.36 : 16,982.51 = 7,203.08 : x
  2. Step 2: Convert to fraction form
    12,308.36/16,982.51 = 7,203.08/x
  3. Step 3: Cross multiply
    12,308.36x = 16,982.51 × 7,203.08
  4. Step 4: Simplify right side
    12,308.36x = 122,326,329.56
  5. Step 5: Solve for x
    x = 122,326,329.56/12,308.36
  6. Step 6: Final answer
    x = 9,938.48

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1.5x scale

Why These Related Problems?

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