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Finding the Fourth Proportional to 20,762.96, 28,656.60 and 12,380

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Solution

The fourth proportional to 20,762.96, 28,656.60 and 12,380 is: 17,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.96 : 28,656.60 = 12,380 : x
  2. Step 2: Convert to fraction form
    20,762.96/28,656.60 = 12,380/x
  3. Step 3: Cross multiply
    20,762.96x = 28,656.60 × 12,380
  4. Step 4: Simplify right side
    20,762.96x = 354,768,708
  5. Step 5: Solve for x
    x = 354,768,708/20,762.96
  6. Step 6: Final answer
    x = 17,086.62

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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.