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Finding the Fourth Proportional to 10,783.38, 14,882.88 and 6,245.40

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Solution

The fourth proportional to 10,783.38, 14,882.88 and 6,245.40 is: 8,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.38 : 14,882.88 = 6,245.40 : x
  2. Step 2: Convert to fraction form
    10,783.38/14,882.88 = 6,245.40/x
  3. Step 3: Cross multiply
    10,783.38x = 14,882.88 × 6,245.40
  4. Step 4: Simplify right side
    10,783.38x = 92,949,538.75
  5. Step 5: Solve for x
    x = 92,949,538.75/10,783.38
  6. Step 6: Final answer
    x = 8,619.70

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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.