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Finding the Fourth Proportional to 13,675.30, 18,872.01 and 7,706.74

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Solution

The fourth proportional to 13,675.30, 18,872.01 and 7,706.74 is: 10,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.30 : 18,872.01 = 7,706.74 : x
  2. Step 2: Convert to fraction form
    13,675.30/18,872.01 = 7,706.74/x
  3. Step 3: Cross multiply
    13,675.30x = 18,872.01 × 7,706.74
  4. Step 4: Simplify right side
    13,675.30x = 145,441,674.35
  5. Step 5: Solve for x
    x = 145,441,674.35/13,675.30
  6. Step 6: Final answer
    x = 10,635.36

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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.