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Finding the Fourth Proportional to 13,339.68, 20,002.68 and 7,794.24

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Solution

The fourth proportional to 13,339.68, 20,002.68 and 7,794.24 is: 11,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,339.68 : 20,002.68 = 7,794.24 : x
  2. Step 2: Convert to fraction form
    13,339.68/20,002.68 = 7,794.24/x
  3. Step 3: Cross multiply
    13,339.68x = 20,002.68 × 7,794.24
  4. Step 4: Simplify right side
    13,339.68x = 155,905,688.56
  5. Step 5: Solve for x
    x = 155,905,688.56/13,339.68
  6. Step 6: Final answer
    x = 11,687.36

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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.