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Finding the Fourth Proportional to 7,819, 10,790.22 and 5,831.26

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Solution

The fourth proportional to 7,819, 10,790.22 and 5,831.26 is: 8,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819 : 10,790.22 = 5,831.26 : x
  2. Step 2: Convert to fraction form
    7,819/10,790.22 = 5,831.26/x
  3. Step 3: Cross multiply
    7,819x = 10,790.22 × 5,831.26
  4. Step 4: Simplify right side
    7,819x = 62,920,578.28
  5. Step 5: Solve for x
    x = 62,920,578.28/7,819
  6. Step 6: Final answer
    x = 8,047.14

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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.