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Finding the Fourth Proportional to 9,984.97, 13,783.68 and 6,449.90

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Solution

The fourth proportional to 9,984.97, 13,783.68 and 6,449.90 is: 8,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.97 : 13,783.68 = 6,449.90 : x
  2. Step 2: Convert to fraction form
    9,984.97/13,783.68 = 6,449.90/x
  3. Step 3: Cross multiply
    9,984.97x = 13,783.68 × 6,449.90
  4. Step 4: Simplify right side
    9,984.97x = 88,903,357.63
  5. Step 5: Solve for x
    x = 88,903,357.63/9,984.97
  6. Step 6: Final answer
    x = 8,903.72

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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.