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Finding the Fourth Proportional to 7,172.00, 10,719.53 and 6,467.60

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Solution

The fourth proportional to 7,172.00, 10,719.53 and 6,467.60 is: 9,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.00 : 10,719.53 = 6,467.60 : x
  2. Step 2: Convert to fraction form
    7,172.00/10,719.53 = 6,467.60/x
  3. Step 3: Cross multiply
    7,172.00x = 10,719.53 × 6,467.60
  4. Step 4: Simplify right side
    7,172.00x = 69,329,594.80
  5. Step 5: Solve for x
    x = 69,329,594.80/7,172.00
  6. Step 6: Final answer
    x = 9,666.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.