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Finding the Fourth Proportional to 13,374.54, 20,055.06 and 7,829.64

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Solution

The fourth proportional to 13,374.54, 20,055.06 and 7,829.64 is: 11,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.54 : 20,055.06 = 7,829.64 : x
  2. Step 2: Convert to fraction form
    13,374.54/20,055.06 = 7,829.64/x
  3. Step 3: Cross multiply
    13,374.54x = 20,055.06 × 7,829.64
  4. Step 4: Simplify right side
    13,374.54x = 157,023,899.98
  5. Step 5: Solve for x
    x = 157,023,899.98/13,374.54
  6. Step 6: Final answer
    x = 11,740.51

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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.