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Finding the Fourth Proportional to 5,984.76, 8,978.64 and 3,521.64

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Solution

The fourth proportional to 5,984.76, 8,978.64 and 3,521.64 is: 5,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.76 : 8,978.64 = 3,521.64 : x
  2. Step 2: Convert to fraction form
    5,984.76/8,978.64 = 3,521.64/x
  3. Step 3: Cross multiply
    5,984.76x = 8,978.64 × 3,521.64
  4. Step 4: Simplify right side
    5,984.76x = 31,619,537.77
  5. Step 5: Solve for x
    x = 31,619,537.77/5,984.76
  6. Step 6: Final answer
    x = 5,283.34

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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.