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Finding the Fourth Proportional to 9,978.16, 13,767.84 and 6,250

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Solution

The fourth proportional to 9,978.16, 13,767.84 and 6,250 is: 8,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.16 : 13,767.84 = 6,250 : x
  2. Step 2: Convert to fraction form
    9,978.16/13,767.84 = 6,250/x
  3. Step 3: Cross multiply
    9,978.16x = 13,767.84 × 6,250
  4. Step 4: Simplify right side
    9,978.16x = 86,049,000
  5. Step 5: Solve for x
    x = 86,049,000/9,978.16
  6. Step 6: Final answer
    x = 8,623.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.