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Finding the Fourth Proportional to 9,290.40, 13,946.40 and 5,596.80

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Solution

The fourth proportional to 9,290.40, 13,946.40 and 5,596.80 is: 8,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.40 : 13,946.40 = 5,596.80 : x
  2. Step 2: Convert to fraction form
    9,290.40/13,946.40 = 5,596.80/x
  3. Step 3: Cross multiply
    9,290.40x = 13,946.40 × 5,596.80
  4. Step 4: Simplify right side
    9,290.40x = 78,055,211.52
  5. Step 5: Solve for x
    x = 78,055,211.52/9,290.40
  6. Step 6: Final answer
    x = 8,401.71

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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.