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Finding the Fourth Proportional to 5,911, 8,867.94 and 1,807

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Solution

The fourth proportional to 5,911, 8,867.94 and 1,807 is: 2,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911 : 8,867.94 = 1,807 : x
  2. Step 2: Convert to fraction form
    5,911/8,867.94 = 1,807/x
  3. Step 3: Cross multiply
    5,911x = 8,867.94 × 1,807
  4. Step 4: Simplify right side
    5,911x = 16,024,367.58
  5. Step 5: Solve for x
    x = 16,024,367.58/5,911
  6. Step 6: Final answer
    x = 2,710.94

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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.