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Finding the Fourth Proportional to 7,817.09, 10,789.49 and 4,831.13

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Solution

The fourth proportional to 7,817.09, 10,789.49 and 4,831.13 is: 6,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.09 : 10,789.49 = 4,831.13 : x
  2. Step 2: Convert to fraction form
    7,817.09/10,789.49 = 4,831.13/x
  3. Step 3: Cross multiply
    7,817.09x = 10,789.49 × 4,831.13
  4. Step 4: Simplify right side
    7,817.09x = 52,125,350.72
  5. Step 5: Solve for x
    x = 52,125,350.72/7,817.09
  6. Step 6: Final answer
    x = 6,668.13

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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.