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Finding the Fourth Proportional to 7,969.32, 11,000.16 and 7,128.54

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Solution

The fourth proportional to 7,969.32, 11,000.16 and 7,128.54 is: 9,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.32 : 11,000.16 = 7,128.54 : x
  2. Step 2: Convert to fraction form
    7,969.32/11,000.16 = 7,128.54/x
  3. Step 3: Cross multiply
    7,969.32x = 11,000.16 × 7,128.54
  4. Step 4: Simplify right side
    7,969.32x = 78,415,080.57
  5. Step 5: Solve for x
    x = 78,415,080.57/7,969.32
  6. Step 6: Final answer
    x = 9,839.62

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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.