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Finding the Fourth Proportional to 5,384.64, 8,076.94 and 1,489.04

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Solution

The fourth proportional to 5,384.64, 8,076.94 and 1,489.04 is: 2,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.64 : 8,076.94 = 1,489.04 : x
  2. Step 2: Convert to fraction form
    5,384.64/8,076.94 = 1,489.04/x
  3. Step 3: Cross multiply
    5,384.64x = 8,076.94 × 1,489.04
  4. Step 4: Simplify right side
    5,384.64x = 12,026,886.74
  5. Step 5: Solve for x
    x = 12,026,886.74/5,384.64
  6. Step 6: Final answer
    x = 2,233.55

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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.