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Finding the Fourth Proportional to 13,851.12, 20,765.12 and 6,451.77

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Solution

The fourth proportional to 13,851.12, 20,765.12 and 6,451.77 is: 9,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.12 : 20,765.12 = 6,451.77 : x
  2. Step 2: Convert to fraction form
    13,851.12/20,765.12 = 6,451.77/x
  3. Step 3: Cross multiply
    13,851.12x = 20,765.12 × 6,451.77
  4. Step 4: Simplify right side
    13,851.12x = 133,971,746.00
  5. Step 5: Solve for x
    x = 133,971,746.00/13,851.12
  6. Step 6: Final answer
    x = 9,672.27

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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.