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Finding the Fourth Proportional to 13,641.84, 18,825 and 7,674.48

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Solution

The fourth proportional to 13,641.84, 18,825 and 7,674.48 is: 10,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.84 : 18,825 = 7,674.48 : x
  2. Step 2: Convert to fraction form
    13,641.84/18,825 = 7,674.48/x
  3. Step 3: Cross multiply
    13,641.84x = 18,825 × 7,674.48
  4. Step 4: Simplify right side
    13,641.84x = 144,472,086
  5. Step 5: Solve for x
    x = 144,472,086/13,641.84
  6. Step 6: Final answer
    x = 10,590.37

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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.