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Finding the Fourth Proportional to 5,291.73, 7,931.99 and 1,957.83

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Solution

The fourth proportional to 5,291.73, 7,931.99 and 1,957.83 is: 2,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.73 : 7,931.99 = 1,957.83 : x
  2. Step 2: Convert to fraction form
    5,291.73/7,931.99 = 1,957.83/x
  3. Step 3: Cross multiply
    5,291.73x = 7,931.99 × 1,957.83
  4. Step 4: Simplify right side
    5,291.73x = 15,529,487.98
  5. Step 5: Solve for x
    x = 15,529,487.98/5,291.73
  6. Step 6: Final answer
    x = 2,934.67

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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.