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Finding the Fourth Proportional to 7,089.40, 9,782.94 and 3,945.40

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Solution

The fourth proportional to 7,089.40, 9,782.94 and 3,945.40 is: 5,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.40 : 9,782.94 = 3,945.40 : x
  2. Step 2: Convert to fraction form
    7,089.40/9,782.94 = 3,945.40/x
  3. Step 3: Cross multiply
    7,089.40x = 9,782.94 × 3,945.40
  4. Step 4: Simplify right side
    7,089.40x = 38,597,611.48
  5. Step 5: Solve for x
    x = 38,597,611.48/7,089.40
  6. Step 6: Final answer
    x = 5,444.41

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Half scale
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Similar ratio
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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.