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Finding the Fourth Proportional to 13,632.30, 20,412 and 7,780.86

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Solution

The fourth proportional to 13,632.30, 20,412 and 7,780.86 is: 11,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.30 : 20,412 = 7,780.86 : x
  2. Step 2: Convert to fraction form
    13,632.30/20,412 = 7,780.86/x
  3. Step 3: Cross multiply
    13,632.30x = 20,412 × 7,780.86
  4. Step 4: Simplify right side
    13,632.30x = 158,822,914.32
  5. Step 5: Solve for x
    x = 158,822,914.32/13,632.30
  6. Step 6: Final answer
    x = 11,650.49

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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.