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Finding the Fourth Proportional to 7,143.84, 10,707.12 and 3,679.20

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Solution

The fourth proportional to 7,143.84, 10,707.12 and 3,679.20 is: 5,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.84 : 10,707.12 = 3,679.20 : x
  2. Step 2: Convert to fraction form
    7,143.84/10,707.12 = 3,679.20/x
  3. Step 3: Cross multiply
    7,143.84x = 10,707.12 × 3,679.20
  4. Step 4: Simplify right side
    7,143.84x = 39,393,635.90
  5. Step 5: Solve for x
    x = 39,393,635.90/7,143.84
  6. Step 6: Final answer
    x = 5,514.35

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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.