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Finding the Fourth Proportional to 5,493.76, 8,238 and 2,569.60

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Solution

The fourth proportional to 5,493.76, 8,238 and 2,569.60 is: 3,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.76 : 8,238 = 2,569.60 : x
  2. Step 2: Convert to fraction form
    5,493.76/8,238 = 2,569.60/x
  3. Step 3: Cross multiply
    5,493.76x = 8,238 × 2,569.60
  4. Step 4: Simplify right side
    5,493.76x = 21,168,364.80
  5. Step 5: Solve for x
    x = 21,168,364.80/5,493.76
  6. Step 6: Final answer
    x = 3,853.17

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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.