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Finding the Fourth Proportional to 12,415.76, 18,623.64 and 3,650.68

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Solution

The fourth proportional to 12,415.76, 18,623.64 and 3,650.68 is: 5,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.76 : 18,623.64 = 3,650.68 : x
  2. Step 2: Convert to fraction form
    12,415.76/18,623.64 = 3,650.68/x
  3. Step 3: Cross multiply
    12,415.76x = 18,623.64 × 3,650.68
  4. Step 4: Simplify right side
    12,415.76x = 67,988,950.08
  5. Step 5: Solve for x
    x = 67,988,950.08/12,415.76
  6. Step 6: Final answer
    x = 5,476.02

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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.