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Finding the Fourth Proportional to 5,235.45, 7,217.45 and 3,742.83

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Solution

The fourth proportional to 5,235.45, 7,217.45 and 3,742.83 is: 5,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.45 : 7,217.45 = 3,742.83 : x
  2. Step 2: Convert to fraction form
    5,235.45/7,217.45 = 3,742.83/x
  3. Step 3: Cross multiply
    5,235.45x = 7,217.45 × 3,742.83
  4. Step 4: Simplify right side
    5,235.45x = 27,013,688.38
  5. Step 5: Solve for x
    x = 27,013,688.38/5,235.45
  6. Step 6: Final answer
    x = 5,159.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.