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Finding the Fourth Proportional to 18,528, 25,568.64 and 10,144.80

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Solution

The fourth proportional to 18,528, 25,568.64 and 10,144.80 is: 13,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,528 : 25,568.64 = 10,144.80 : x
  2. Step 2: Convert to fraction form
    18,528/25,568.64 = 10,144.80/x
  3. Step 3: Cross multiply
    18,528x = 25,568.64 × 10,144.80
  4. Step 4: Simplify right side
    18,528x = 259,388,739.07
  5. Step 5: Solve for x
    x = 259,388,739.07/18,528
  6. Step 6: Final answer
    x = 13,999.82

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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.