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Finding the Fourth Proportional to 13,064.52, 19,596.80 and 7,869.20

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Solution

The fourth proportional to 13,064.52, 19,596.80 and 7,869.20 is: 11,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.52 : 19,596.80 = 7,869.20 : x
  2. Step 2: Convert to fraction form
    13,064.52/19,596.80 = 7,869.20/x
  3. Step 3: Cross multiply
    13,064.52x = 19,596.80 × 7,869.20
  4. Step 4: Simplify right side
    13,064.52x = 154,211,138.56
  5. Step 5: Solve for x
    x = 154,211,138.56/13,064.52
  6. Step 6: Final answer
    x = 11,803.81

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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.