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Finding the Fourth Proportional to 9,978.14, 13,755.11 and 6,392.67

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Solution

The fourth proportional to 9,978.14, 13,755.11 and 6,392.67 is: 8,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.14 : 13,755.11 = 6,392.67 : x
  2. Step 2: Convert to fraction form
    9,978.14/13,755.11 = 6,392.67/x
  3. Step 3: Cross multiply
    9,978.14x = 13,755.11 × 6,392.67
  4. Step 4: Simplify right side
    9,978.14x = 87,931,847.08
  5. Step 5: Solve for x
    x = 87,931,847.08/9,978.14
  6. Step 6: Final answer
    x = 8,812.45

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1.5x scale

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.