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Finding the Fourth Proportional to 13,424.21, 18,525.39 and 7,835.21

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Solution

The fourth proportional to 13,424.21, 18,525.39 and 7,835.21 is: 10,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.21 : 18,525.39 = 7,835.21 : x
  2. Step 2: Convert to fraction form
    13,424.21/18,525.39 = 7,835.21/x
  3. Step 3: Cross multiply
    13,424.21x = 18,525.39 × 7,835.21
  4. Step 4: Simplify right side
    13,424.21x = 145,150,228.35
  5. Step 5: Solve for x
    x = 145,150,228.35/13,424.21
  6. Step 6: Final answer
    x = 10,812.58

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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.