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Finding the Fourth Proportional to 9,765.60, 14,639.73 and 3,918.24

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Solution

The fourth proportional to 9,765.60, 14,639.73 and 3,918.24 is: 5,873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.60 : 14,639.73 = 3,918.24 : x
  2. Step 2: Convert to fraction form
    9,765.60/14,639.73 = 3,918.24/x
  3. Step 3: Cross multiply
    9,765.60x = 14,639.73 × 3,918.24
  4. Step 4: Simplify right side
    9,765.60x = 57,361,975.68
  5. Step 5: Solve for x
    x = 57,361,975.68/9,765.60
  6. Step 6: Final answer
    x = 5,873.88

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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.