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Finding the Fourth Proportional to 6,451.40, 9,674.40 and 3,165.50

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Solution

The fourth proportional to 6,451.40, 9,674.40 and 3,165.50 is: 4,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.40 : 9,674.40 = 3,165.50 : x
  2. Step 2: Convert to fraction form
    6,451.40/9,674.40 = 3,165.50/x
  3. Step 3: Cross multiply
    6,451.40x = 9,674.40 × 3,165.50
  4. Step 4: Simplify right side
    6,451.40x = 30,624,313.20
  5. Step 5: Solve for x
    x = 30,624,313.20/6,451.40
  6. Step 6: Final answer
    x = 4,746.93

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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.