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Finding the Fourth Proportional to 3,545, 4,892.10 and 2,073

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Solution

The fourth proportional to 3,545, 4,892.10 and 2,073 is: 2,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545 : 4,892.10 = 2,073 : x
  2. Step 2: Convert to fraction form
    3,545/4,892.10 = 2,073/x
  3. Step 3: Cross multiply
    3,545x = 4,892.10 × 2,073
  4. Step 4: Simplify right side
    3,545x = 10,141,323.30
  5. Step 5: Solve for x
    x = 10,141,323.30/3,545
  6. Step 6: Final answer
    x = 2,860.74

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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.