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Finding the Fourth Proportional to 5,307.50, 7,964.67 and 2,229.50

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Solution

The fourth proportional to 5,307.50, 7,964.67 and 2,229.50 is: 3,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.50 : 7,964.67 = 2,229.50 : x
  2. Step 2: Convert to fraction form
    5,307.50/7,964.67 = 2,229.50/x
  3. Step 3: Cross multiply
    5,307.50x = 7,964.67 × 2,229.50
  4. Step 4: Simplify right side
    5,307.50x = 17,757,231.77
  5. Step 5: Solve for x
    x = 17,757,231.77/5,307.50
  6. Step 6: Final answer
    x = 3,345.69

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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.