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Finding the Fourth Proportional to 13,624.94, 18,801.80 and 7,960.20

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Solution

The fourth proportional to 13,624.94, 18,801.80 and 7,960.20 is: 10,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.94 : 18,801.80 = 7,960.20 : x
  2. Step 2: Convert to fraction form
    13,624.94/18,801.80 = 7,960.20/x
  3. Step 3: Cross multiply
    13,624.94x = 18,801.80 × 7,960.20
  4. Step 4: Simplify right side
    13,624.94x = 149,666,048.56
  5. Step 5: Solve for x
    x = 149,666,048.56/13,624.94
  6. Step 6: Final answer
    x = 10,984.72

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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.