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Finding the Fourth Proportional to 13,078.64, 18,050.08 and 7,773.48

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Solution

The fourth proportional to 13,078.64, 18,050.08 and 7,773.48 is: 10,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.64 : 18,050.08 = 7,773.48 : x
  2. Step 2: Convert to fraction form
    13,078.64/18,050.08 = 7,773.48/x
  3. Step 3: Cross multiply
    13,078.64x = 18,050.08 × 7,773.48
  4. Step 4: Simplify right side
    13,078.64x = 140,311,935.88
  5. Step 5: Solve for x
    x = 140,311,935.88/13,078.64
  6. Step 6: Final answer
    x = 10,728.33

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1.5x scale

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.