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Finding the Fourth Proportional to 17,085.80, 25,655.10 and 9,309.80

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Solution

The fourth proportional to 17,085.80, 25,655.10 and 9,309.80 is: 13,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.80 : 25,655.10 = 9,309.80 : x
  2. Step 2: Convert to fraction form
    17,085.80/25,655.10 = 9,309.80/x
  3. Step 3: Cross multiply
    17,085.80x = 25,655.10 × 9,309.80
  4. Step 4: Simplify right side
    17,085.80x = 238,843,849.98
  5. Step 5: Solve for x
    x = 238,843,849.98/17,085.80
  6. Step 6: Final answer
    x = 13,979.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.