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Finding the Fourth Proportional to 17,085.78, 23,543.38 and 12,602.43

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Solution

The fourth proportional to 17,085.78, 23,543.38 and 12,602.43 is: 17,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.78 : 23,543.38 = 12,602.43 : x
  2. Step 2: Convert to fraction form
    17,085.78/23,543.38 = 12,602.43/x
  3. Step 3: Cross multiply
    17,085.78x = 23,543.38 × 12,602.43
  4. Step 4: Simplify right side
    17,085.78x = 296,703,798.41
  5. Step 5: Solve for x
    x = 296,703,798.41/17,085.78
  6. Step 6: Final answer
    x = 17,365.54

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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.