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Finding the Fourth Proportional to 8,921.64, 13,384.08 and 3,076.68

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Solution

The fourth proportional to 8,921.64, 13,384.08 and 3,076.68 is: 4,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.64 : 13,384.08 = 3,076.68 : x
  2. Step 2: Convert to fraction form
    8,921.64/13,384.08 = 3,076.68/x
  3. Step 3: Cross multiply
    8,921.64x = 13,384.08 × 3,076.68
  4. Step 4: Simplify right side
    8,921.64x = 41,178,531.25
  5. Step 5: Solve for x
    x = 41,178,531.25/8,921.64
  6. Step 6: Final answer
    x = 4,615.58

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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.