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Finding the Fourth Proportional to 8,400.71, 12,609.65 and 6,935.20

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Solution

The fourth proportional to 8,400.71, 12,609.65 and 6,935.20 is: 10,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.71 : 12,609.65 = 6,935.20 : x
  2. Step 2: Convert to fraction form
    8,400.71/12,609.65 = 6,935.20/x
  3. Step 3: Cross multiply
    8,400.71x = 12,609.65 × 6,935.20
  4. Step 4: Simplify right side
    8,400.71x = 87,450,430.49
  5. Step 5: Solve for x
    x = 87,450,430.49/8,400.71
  6. Step 6: Final answer
    x = 10,409.88

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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.