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Finding the Fourth Proportional to 18,717.65, 25,829.25 and 10,218.08

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Solution

The fourth proportional to 18,717.65, 25,829.25 and 10,218.08 is: 14,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,717.65 : 25,829.25 = 10,218.08 : x
  2. Step 2: Convert to fraction form
    18,717.65/25,829.25 = 10,218.08/x
  3. Step 3: Cross multiply
    18,717.65x = 25,829.25 × 10,218.08
  4. Step 4: Simplify right side
    18,717.65x = 263,925,342.84
  5. Step 5: Solve for x
    x = 263,925,342.84/18,717.65
  6. Step 6: Final answer
    x = 14,100.35

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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.