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Finding the Fourth Proportional to 13,053.43, 18,013.74 and 7,085.09

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Solution

The fourth proportional to 13,053.43, 18,013.74 and 7,085.09 is: 9,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.43 : 18,013.74 = 7,085.09 : x
  2. Step 2: Convert to fraction form
    13,053.43/18,013.74 = 7,085.09/x
  3. Step 3: Cross multiply
    13,053.43x = 18,013.74 × 7,085.09
  4. Step 4: Simplify right side
    13,053.43x = 127,628,969.14
  5. Step 5: Solve for x
    x = 127,628,969.14/13,053.43
  6. Step 6: Final answer
    x = 9,777.43

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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.