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Finding the Fourth Proportional to 4,572.84, 6,855 and 2,109.60

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Solution

The fourth proportional to 4,572.84, 6,855 and 2,109.60 is: 3,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.84 : 6,855 = 2,109.60 : x
  2. Step 2: Convert to fraction form
    4,572.84/6,855 = 2,109.60/x
  3. Step 3: Cross multiply
    4,572.84x = 6,855 × 2,109.60
  4. Step 4: Simplify right side
    4,572.84x = 14,461,308
  5. Step 5: Solve for x
    x = 14,461,308/4,572.84
  6. Step 6: Final answer
    x = 3,162.43

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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.