Home / 12,830.16-17,705.45-7,165

Finding the Fourth Proportional to 12,830.16, 17,705.45 and 7,165

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Solution

The fourth proportional to 12,830.16, 17,705.45 and 7,165 is: 9,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.16 : 17,705.45 = 7,165 : x
  2. Step 2: Convert to fraction form
    12,830.16/17,705.45 = 7,165/x
  3. Step 3: Cross multiply
    12,830.16x = 17,705.45 × 7,165
  4. Step 4: Simplify right side
    12,830.16x = 126,859,513.43
  5. Step 5: Solve for x
    x = 126,859,513.43/12,830.16
  6. Step 6: Final answer
    x = 9,887.61

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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.