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Finding the Fourth Proportional to 7,943.40, 11,900.70 and 6,474.60

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Solution

The fourth proportional to 7,943.40, 11,900.70 and 6,474.60 is: 9,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.40 : 11,900.70 = 6,474.60 : x
  2. Step 2: Convert to fraction form
    7,943.40/11,900.70 = 6,474.60/x
  3. Step 3: Cross multiply
    7,943.40x = 11,900.70 × 6,474.60
  4. Step 4: Simplify right side
    7,943.40x = 77,052,272.22
  5. Step 5: Solve for x
    x = 77,052,272.22/7,943.40
  6. Step 6: Final answer
    x = 9,700.16

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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.