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Finding the Fourth Proportional to 5,978.80, 8,956.32 and 4,674.16

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Solution

The fourth proportional to 5,978.80, 8,956.32 and 4,674.16 is: 7,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.80 : 8,956.32 = 4,674.16 : x
  2. Step 2: Convert to fraction form
    5,978.80/8,956.32 = 4,674.16/x
  3. Step 3: Cross multiply
    5,978.80x = 8,956.32 × 4,674.16
  4. Step 4: Simplify right side
    5,978.80x = 41,863,272.69
  5. Step 5: Solve for x
    x = 41,863,272.69/5,978.80
  6. Step 6: Final answer
    x = 7,001.95

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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.