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Finding the Fourth Proportional to 7,143.28, 10,713.82 and 4,369

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Solution

The fourth proportional to 7,143.28, 10,713.82 and 4,369 is: 6,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.28 : 10,713.82 = 4,369 : x
  2. Step 2: Convert to fraction form
    7,143.28/10,713.82 = 4,369/x
  3. Step 3: Cross multiply
    7,143.28x = 10,713.82 × 4,369
  4. Step 4: Simplify right side
    7,143.28x = 46,808,679.58
  5. Step 5: Solve for x
    x = 46,808,679.58/7,143.28
  6. Step 6: Final answer
    x = 6,552.83

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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.