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Finding the Fourth Proportional to 9,812.80, 14,708.24 and 4,270.80

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Solution

The fourth proportional to 9,812.80, 14,708.24 and 4,270.80 is: 6,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.80 : 14,708.24 = 4,270.80 : x
  2. Step 2: Convert to fraction form
    9,812.80/14,708.24 = 4,270.80/x
  3. Step 3: Cross multiply
    9,812.80x = 14,708.24 × 4,270.80
  4. Step 4: Simplify right side
    9,812.80x = 62,815,951.39
  5. Step 5: Solve for x
    x = 62,815,951.39/9,812.80
  6. Step 6: Final answer
    x = 6,401.43

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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.