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Finding the Fourth Proportional to 5,207.66, 7,811.40 and 1,311.98

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Solution

The fourth proportional to 5,207.66, 7,811.40 and 1,311.98 is: 1,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.66 : 7,811.40 = 1,311.98 : x
  2. Step 2: Convert to fraction form
    5,207.66/7,811.40 = 1,311.98/x
  3. Step 3: Cross multiply
    5,207.66x = 7,811.40 × 1,311.98
  4. Step 4: Simplify right side
    5,207.66x = 10,248,400.57
  5. Step 5: Solve for x
    x = 10,248,400.57/5,207.66
  6. Step 6: Final answer
    x = 1,967.95

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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.