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Finding the Fourth Proportional to 10,969.44, 15,138.48 and 8,312.64

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Solution

The fourth proportional to 10,969.44, 15,138.48 and 8,312.64 is: 11,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.44 : 15,138.48 = 8,312.64 : x
  2. Step 2: Convert to fraction form
    10,969.44/15,138.48 = 8,312.64/x
  3. Step 3: Cross multiply
    10,969.44x = 15,138.48 × 8,312.64
  4. Step 4: Simplify right side
    10,969.44x = 125,840,734.39
  5. Step 5: Solve for x
    x = 125,840,734.39/10,969.44
  6. Step 6: Final answer
    x = 11,471.94

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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.