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Finding the Fourth Proportional to 6,729.76, 10,078.98 and 6,496.16

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Solution

The fourth proportional to 6,729.76, 10,078.98 and 6,496.16 is: 9,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.76 : 10,078.98 = 6,496.16 : x
  2. Step 2: Convert to fraction form
    6,729.76/10,078.98 = 6,496.16/x
  3. Step 3: Cross multiply
    6,729.76x = 10,078.98 × 6,496.16
  4. Step 4: Simplify right side
    6,729.76x = 65,474,666.72
  5. Step 5: Solve for x
    x = 65,474,666.72/6,729.76
  6. Step 6: Final answer
    x = 9,729.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.