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Finding the Fourth Proportional to 6,897.78, 10,346.00 and 1,831.68

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Solution

The fourth proportional to 6,897.78, 10,346.00 and 1,831.68 is: 2,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.78 : 10,346.00 = 1,831.68 : x
  2. Step 2: Convert to fraction form
    6,897.78/10,346.00 = 1,831.68/x
  3. Step 3: Cross multiply
    6,897.78x = 10,346.00 × 1,831.68
  4. Step 4: Simplify right side
    6,897.78x = 18,950,552.12
  5. Step 5: Solve for x
    x = 18,950,552.12/6,897.78
  6. Step 6: Final answer
    x = 2,747.34

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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.