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Finding the Fourth Proportional to 7,988.27, 11,978.43 and 4,657.65

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Solution

The fourth proportional to 7,988.27, 11,978.43 and 4,657.65 is: 6,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.27 : 11,978.43 = 4,657.65 : x
  2. Step 2: Convert to fraction form
    7,988.27/11,978.43 = 4,657.65/x
  3. Step 3: Cross multiply
    7,988.27x = 11,978.43 × 4,657.65
  4. Step 4: Simplify right side
    7,988.27x = 55,791,334.49
  5. Step 5: Solve for x
    x = 55,791,334.49/7,988.27
  6. Step 6: Final answer
    x = 6,984.16

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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.