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Finding the Fourth Proportional to 7,762.78, 10,712.32 and 4,226

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Solution

The fourth proportional to 7,762.78, 10,712.32 and 4,226 is: 5,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.78 : 10,712.32 = 4,226 : x
  2. Step 2: Convert to fraction form
    7,762.78/10,712.32 = 4,226/x
  3. Step 3: Cross multiply
    7,762.78x = 10,712.32 × 4,226
  4. Step 4: Simplify right side
    7,762.78x = 45,270,264.32
  5. Step 5: Solve for x
    x = 45,270,264.32/7,762.78
  6. Step 6: Final answer
    x = 5,831.71

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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.