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Finding the Fourth Proportional to 12,509, 17,260.92 and 7,205.54

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Solution

The fourth proportional to 12,509, 17,260.92 and 7,205.54 is: 9,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509 : 17,260.92 = 7,205.54 : x
  2. Step 2: Convert to fraction form
    12,509/17,260.92 = 7,205.54/x
  3. Step 3: Cross multiply
    12,509x = 17,260.92 × 7,205.54
  4. Step 4: Simplify right side
    12,509x = 124,374,249.50
  5. Step 5: Solve for x
    x = 124,374,249.50/12,509
  6. Step 6: Final answer
    x = 9,942.78

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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.