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Finding the Fourth Proportional to 7,172.24, 9,891.12 and 4,651.72

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Solution

The fourth proportional to 7,172.24, 9,891.12 and 4,651.72 is: 6,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.24 : 9,891.12 = 4,651.72 : x
  2. Step 2: Convert to fraction form
    7,172.24/9,891.12 = 4,651.72/x
  3. Step 3: Cross multiply
    7,172.24x = 9,891.12 × 4,651.72
  4. Step 4: Simplify right side
    7,172.24x = 46,010,720.73
  5. Step 5: Solve for x
    x = 46,010,720.73/7,172.24
  6. Step 6: Final answer
    x = 6,415.11

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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.