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Finding the Fourth Proportional to 5,485, 7,569.32 and 3,831.88

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Solution

The fourth proportional to 5,485, 7,569.32 and 3,831.88 is: 5,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485 : 7,569.32 = 3,831.88 : x
  2. Step 2: Convert to fraction form
    5,485/7,569.32 = 3,831.88/x
  3. Step 3: Cross multiply
    5,485x = 7,569.32 × 3,831.88
  4. Step 4: Simplify right side
    5,485x = 29,004,725.92
  5. Step 5: Solve for x
    x = 29,004,725.92/5,485
  6. Step 6: Final answer
    x = 5,288.01

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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.