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Finding the Fourth Proportional to 7,145.78, 10,719.16 and 2,214.77

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Solution

The fourth proportional to 7,145.78, 10,719.16 and 2,214.77 is: 3,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.78 : 10,719.16 = 2,214.77 : x
  2. Step 2: Convert to fraction form
    7,145.78/10,719.16 = 2,214.77/x
  3. Step 3: Cross multiply
    7,145.78x = 10,719.16 × 2,214.77
  4. Step 4: Simplify right side
    7,145.78x = 23,740,473.99
  5. Step 5: Solve for x
    x = 23,740,473.99/7,145.78
  6. Step 6: Final answer
    x = 3,322.31

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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.