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Finding the Fourth Proportional to 7,172.71, 9,895.50 and 4,147.28

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Solution

The fourth proportional to 7,172.71, 9,895.50 and 4,147.28 is: 5,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.71 : 9,895.50 = 4,147.28 : x
  2. Step 2: Convert to fraction form
    7,172.71/9,895.50 = 4,147.28/x
  3. Step 3: Cross multiply
    7,172.71x = 9,895.50 × 4,147.28
  4. Step 4: Simplify right side
    7,172.71x = 41,039,359.76
  5. Step 5: Solve for x
    x = 41,039,359.76/7,172.71
  6. Step 6: Final answer
    x = 5,721.60

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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.