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Finding the Fourth Proportional to 13,674.20, 18,868.02 and 7,705.40

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Solution

The fourth proportional to 13,674.20, 18,868.02 and 7,705.40 is: 10,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.20 : 18,868.02 = 7,705.40 : x
  2. Step 2: Convert to fraction form
    13,674.20/18,868.02 = 7,705.40/x
  3. Step 3: Cross multiply
    13,674.20x = 18,868.02 × 7,705.40
  4. Step 4: Simplify right side
    13,674.20x = 145,385,641.31
  5. Step 5: Solve for x
    x = 145,385,641.31/13,674.20
  6. Step 6: Final answer
    x = 10,632.11

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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.