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Finding the Fourth Proportional to 3,518.84, 5,278.57 and 1,544.63

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Solution

The fourth proportional to 3,518.84, 5,278.57 and 1,544.63 is: 2,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.84 : 5,278.57 = 1,544.63 : x
  2. Step 2: Convert to fraction form
    3,518.84/5,278.57 = 1,544.63/x
  3. Step 3: Cross multiply
    3,518.84x = 5,278.57 × 1,544.63
  4. Step 4: Simplify right side
    3,518.84x = 8,153,407.32
  5. Step 5: Solve for x
    x = 8,153,407.32/3,518.84
  6. Step 6: Final answer
    x = 2,317.07

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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.