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Finding the Fourth Proportional to 13,902.56, 19,184.80 and 7,614.80

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Solution

The fourth proportional to 13,902.56, 19,184.80 and 7,614.80 is: 10,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.56 : 19,184.80 = 7,614.80 : x
  2. Step 2: Convert to fraction form
    13,902.56/19,184.80 = 7,614.80/x
  3. Step 3: Cross multiply
    13,902.56x = 19,184.80 × 7,614.80
  4. Step 4: Simplify right side
    13,902.56x = 146,088,415.04
  5. Step 5: Solve for x
    x = 146,088,415.04/13,902.56
  6. Step 6: Final answer
    x = 10,508.02

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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.