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Finding the Fourth Proportional to 5,076.84, 7,613.64 and 1,613.28

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Solution

The fourth proportional to 5,076.84, 7,613.64 and 1,613.28 is: 2,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.84 : 7,613.64 = 1,613.28 : x
  2. Step 2: Convert to fraction form
    5,076.84/7,613.64 = 1,613.28/x
  3. Step 3: Cross multiply
    5,076.84x = 7,613.64 × 1,613.28
  4. Step 4: Simplify right side
    5,076.84x = 12,282,933.14
  5. Step 5: Solve for x
    x = 12,282,933.14/5,076.84
  6. Step 6: Final answer
    x = 2,419.41

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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.