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Finding the Fourth Proportional to 6,969.76, 9,614.64 and 5,644.96

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Solution

The fourth proportional to 6,969.76, 9,614.64 and 5,644.96 is: 7,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.76 : 9,614.64 = 5,644.96 : x
  2. Step 2: Convert to fraction form
    6,969.76/9,614.64 = 5,644.96/x
  3. Step 3: Cross multiply
    6,969.76x = 9,614.64 × 5,644.96
  4. Step 4: Simplify right side
    6,969.76x = 54,274,258.21
  5. Step 5: Solve for x
    x = 54,274,258.21/6,969.76
  6. Step 6: Final answer
    x = 7,787.11

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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.