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Finding the Fourth Proportional to 3,645, 5,492.34 and 3,247.17

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Solution

The fourth proportional to 3,645, 5,492.34 and 3,247.17 is: 4,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645 : 5,492.34 = 3,247.17 : x
  2. Step 2: Convert to fraction form
    3,645/5,492.34 = 3,247.17/x
  3. Step 3: Cross multiply
    3,645x = 5,492.34 × 3,247.17
  4. Step 4: Simplify right side
    3,645x = 17,834,561.68
  5. Step 5: Solve for x
    x = 17,834,561.68/3,645
  6. Step 6: Final answer
    x = 4,892.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.