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Finding the Fourth Proportional to 7,145, 10,717.14 and 2,214.26

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Solution

The fourth proportional to 7,145, 10,717.14 and 2,214.26 is: 3,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145 : 10,717.14 = 2,214.26 : x
  2. Step 2: Convert to fraction form
    7,145/10,717.14 = 2,214.26/x
  3. Step 3: Cross multiply
    7,145x = 10,717.14 × 2,214.26
  4. Step 4: Simplify right side
    7,145x = 23,730,534.42
  5. Step 5: Solve for x
    x = 23,730,534.42/7,145
  6. Step 6: Final answer
    x = 3,321.28

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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.