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Finding the Fourth Proportional to 9,775.58, 14,659.71 and 3,930.21

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Solution

The fourth proportional to 9,775.58, 14,659.71 and 3,930.21 is: 5,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.58 : 14,659.71 = 3,930.21 : x
  2. Step 2: Convert to fraction form
    9,775.58/14,659.71 = 3,930.21/x
  3. Step 3: Cross multiply
    9,775.58x = 14,659.71 × 3,930.21
  4. Step 4: Simplify right side
    9,775.58x = 57,615,738.84
  5. Step 5: Solve for x
    x = 57,615,738.84/9,775.58
  6. Step 6: Final answer
    x = 5,893.85

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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.