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Finding the Fourth Proportional to 4,661.30, 6,991.88 and 1,887.93

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Solution

The fourth proportional to 4,661.30, 6,991.88 and 1,887.93 is: 2,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.30 : 6,991.88 = 1,887.93 : x
  2. Step 2: Convert to fraction form
    4,661.30/6,991.88 = 1,887.93/x
  3. Step 3: Cross multiply
    4,661.30x = 6,991.88 × 1,887.93
  4. Step 4: Simplify right side
    4,661.30x = 13,200,170.57
  5. Step 5: Solve for x
    x = 13,200,170.57/4,661.30
  6. Step 6: Final answer
    x = 2,831.86

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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.