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Finding the Fourth Proportional to 13,629.84, 18,809.18 and 7,661.50

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Solution

The fourth proportional to 13,629.84, 18,809.18 and 7,661.50 is: 10,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,629.84 : 18,809.18 = 7,661.50 : x
  2. Step 2: Convert to fraction form
    13,629.84/18,809.18 = 7,661.50/x
  3. Step 3: Cross multiply
    13,629.84x = 18,809.18 × 7,661.50
  4. Step 4: Simplify right side
    13,629.84x = 144,106,532.57
  5. Step 5: Solve for x
    x = 144,106,532.57/13,629.84
  6. Step 6: Final answer
    x = 10,572.87

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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.