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Finding the Fourth Proportional to 4,572, 6,857.90 and 2,106.82

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Solution

The fourth proportional to 4,572, 6,857.90 and 2,106.82 is: 3,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572 : 6,857.90 = 2,106.82 : x
  2. Step 2: Convert to fraction form
    4,572/6,857.90 = 2,106.82/x
  3. Step 3: Cross multiply
    4,572x = 6,857.90 × 2,106.82
  4. Step 4: Simplify right side
    4,572x = 14,448,360.88
  5. Step 5: Solve for x
    x = 14,448,360.88/4,572
  6. Step 6: Final answer
    x = 3,160.18

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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.