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Finding the Fourth Proportional to 9,782.75, 14,678.58 and 3,938.20

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Solution

The fourth proportional to 9,782.75, 14,678.58 and 3,938.20 is: 5,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.75 : 14,678.58 = 3,938.20 : x
  2. Step 2: Convert to fraction form
    9,782.75/14,678.58 = 3,938.20/x
  3. Step 3: Cross multiply
    9,782.75x = 14,678.58 × 3,938.20
  4. Step 4: Simplify right side
    9,782.75x = 57,807,183.76
  5. Step 5: Solve for x
    x = 57,807,183.76/9,782.75
  6. Step 6: Final answer
    x = 5,909.09

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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.