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Finding the Fourth Proportional to 6,668.40, 9,986.40 and 6,376.80

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Solution

The fourth proportional to 6,668.40, 9,986.40 and 6,376.80 is: 9,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.40 : 9,986.40 = 6,376.80 : x
  2. Step 2: Convert to fraction form
    6,668.40/9,986.40 = 6,376.80/x
  3. Step 3: Cross multiply
    6,668.40x = 9,986.40 × 6,376.80
  4. Step 4: Simplify right side
    6,668.40x = 63,681,275.52
  5. Step 5: Solve for x
    x = 63,681,275.52/6,668.40
  6. Step 6: Final answer
    x = 9,549.71

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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.