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Finding the Fourth Proportional to 12,415, 18,624.93 and 5,489.50

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Solution

The fourth proportional to 12,415, 18,624.93 and 5,489.50 is: 8,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415 : 18,624.93 = 5,489.50 : x
  2. Step 2: Convert to fraction form
    12,415/18,624.93 = 5,489.50/x
  3. Step 3: Cross multiply
    12,415x = 18,624.93 × 5,489.50
  4. Step 4: Simplify right side
    12,415x = 102,241,553.24
  5. Step 5: Solve for x
    x = 102,241,553.24/12,415
  6. Step 6: Final answer
    x = 8,235.32

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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.