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Finding the Fourth Proportional to 4,126, 5,689.59 and 2,868.49

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Solution

The fourth proportional to 4,126, 5,689.59 and 2,868.49 is: 3,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126 : 5,689.59 = 2,868.49 : x
  2. Step 2: Convert to fraction form
    4,126/5,689.59 = 2,868.49/x
  3. Step 3: Cross multiply
    4,126x = 5,689.59 × 2,868.49
  4. Step 4: Simplify right side
    4,126x = 16,320,532.02
  5. Step 5: Solve for x
    x = 16,320,532.02/4,126
  6. Step 6: Final answer
    x = 3,955.53

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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.