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Finding the Fourth Proportional to 12,924.70, 19,381.53 and 4,914.22

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Solution

The fourth proportional to 12,924.70, 19,381.53 and 4,914.22 is: 7,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.70 : 19,381.53 = 4,914.22 : x
  2. Step 2: Convert to fraction form
    12,924.70/19,381.53 = 4,914.22/x
  3. Step 3: Cross multiply
    12,924.70x = 19,381.53 × 4,914.22
  4. Step 4: Simplify right side
    12,924.70x = 95,245,102.36
  5. Step 5: Solve for x
    x = 95,245,102.36/12,924.70
  6. Step 6: Final answer
    x = 7,369.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.