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Finding the Fourth Proportional to 5,307.88, 7,964.80 and 2,190.20

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Solution

The fourth proportional to 5,307.88, 7,964.80 and 2,190.20 is: 3,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.88 : 7,964.80 = 2,190.20 : x
  2. Step 2: Convert to fraction form
    5,307.88/7,964.80 = 2,190.20/x
  3. Step 3: Cross multiply
    5,307.88x = 7,964.80 × 2,190.20
  4. Step 4: Simplify right side
    5,307.88x = 17,444,504.96
  5. Step 5: Solve for x
    x = 17,444,504.96/5,307.88
  6. Step 6: Final answer
    x = 3,286.53

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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.