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Finding the Fourth Proportional to 6,409.40, 8,839.45 and 4,170.46

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Solution

The fourth proportional to 6,409.40, 8,839.45 and 4,170.46 is: 5,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.40 : 8,839.45 = 4,170.46 : x
  2. Step 2: Convert to fraction form
    6,409.40/8,839.45 = 4,170.46/x
  3. Step 3: Cross multiply
    6,409.40x = 8,839.45 × 4,170.46
  4. Step 4: Simplify right side
    6,409.40x = 36,864,572.65
  5. Step 5: Solve for x
    x = 36,864,572.65/6,409.40
  6. Step 6: Final answer
    x = 5,751.64

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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.