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Finding the Fourth Proportional to 19,412.60, 29,140.80 and 12,851.60

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Solution

The fourth proportional to 19,412.60, 29,140.80 and 12,851.60 is: 19,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.60 : 29,140.80 = 12,851.60 : x
  2. Step 2: Convert to fraction form
    19,412.60/29,140.80 = 12,851.60/x
  3. Step 3: Cross multiply
    19,412.60x = 29,140.80 × 12,851.60
  4. Step 4: Simplify right side
    19,412.60x = 374,505,905.28
  5. Step 5: Solve for x
    x = 374,505,905.28/19,412.60
  6. Step 6: Final answer
    x = 19,291.90

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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.