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Finding the Fourth Proportional to 20,594, 28,419.88 and 12,217.68

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Solution

The fourth proportional to 20,594, 28,419.88 and 12,217.68 is: 16,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594 : 28,419.88 = 12,217.68 : x
  2. Step 2: Convert to fraction form
    20,594/28,419.88 = 12,217.68/x
  3. Step 3: Cross multiply
    20,594x = 28,419.88 × 12,217.68
  4. Step 4: Simplify right side
    20,594x = 347,224,999.48
  5. Step 5: Solve for x
    x = 347,224,999.48/20,594
  6. Step 6: Final answer
    x = 16,860.49

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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.