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Finding the Fourth Proportional to 12,435.96, 17,163.92 and 7,130.80

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Solution

The fourth proportional to 12,435.96, 17,163.92 and 7,130.80 is: 9,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.96 : 17,163.92 = 7,130.80 : x
  2. Step 2: Convert to fraction form
    12,435.96/17,163.92 = 7,130.80/x
  3. Step 3: Cross multiply
    12,435.96x = 17,163.92 × 7,130.80
  4. Step 4: Simplify right side
    12,435.96x = 122,392,480.74
  5. Step 5: Solve for x
    x = 122,392,480.74/12,435.96
  6. Step 6: Final answer
    x = 9,841.82

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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.