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Finding the Fourth Proportional to 9,783.96, 14,679.72 and 5,104.92

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Solution

The fourth proportional to 9,783.96, 14,679.72 and 5,104.92 is: 7,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.96 : 14,679.72 = 5,104.92 : x
  2. Step 2: Convert to fraction form
    9,783.96/14,679.72 = 5,104.92/x
  3. Step 3: Cross multiply
    9,783.96x = 14,679.72 × 5,104.92
  4. Step 4: Simplify right side
    9,783.96x = 74,938,796.22
  5. Step 5: Solve for x
    x = 74,938,796.22/9,783.96
  6. Step 6: Final answer
    x = 7,659.35

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1.5x scale

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.