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Finding the Fourth Proportional to 4,996, 7,494.36 and 1,918

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Solution

The fourth proportional to 4,996, 7,494.36 and 1,918 is: 2,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996 : 7,494.36 = 1,918 : x
  2. Step 2: Convert to fraction form
    4,996/7,494.36 = 1,918/x
  3. Step 3: Cross multiply
    4,996x = 7,494.36 × 1,918
  4. Step 4: Simplify right side
    4,996x = 14,374,182.48
  5. Step 5: Solve for x
    x = 14,374,182.48/4,996
  6. Step 6: Final answer
    x = 2,877.14

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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.