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Finding the Fourth Proportional to 7,661.28, 10,572.72 and 5,984.64

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Solution

The fourth proportional to 7,661.28, 10,572.72 and 5,984.64 is: 8,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.28 : 10,572.72 = 5,984.64 : x
  2. Step 2: Convert to fraction form
    7,661.28/10,572.72 = 5,984.64/x
  3. Step 3: Cross multiply
    7,661.28x = 10,572.72 × 5,984.64
  4. Step 4: Simplify right side
    7,661.28x = 63,273,923.02
  5. Step 5: Solve for x
    x = 63,273,923.02/7,661.28
  6. Step 6: Final answer
    x = 8,258.92

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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.