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Finding the Fourth Proportional to 9,311.77, 13,972.20 and 4,381.90

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Solution

The fourth proportional to 9,311.77, 13,972.20 and 4,381.90 is: 6,574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.77 : 13,972.20 = 4,381.90 : x
  2. Step 2: Convert to fraction form
    9,311.77/13,972.20 = 4,381.90/x
  3. Step 3: Cross multiply
    9,311.77x = 13,972.20 × 4,381.90
  4. Step 4: Simplify right side
    9,311.77x = 61,224,783.18
  5. Step 5: Solve for x
    x = 61,224,783.18/9,311.77
  6. Step 6: Final answer
    x = 6,574.99

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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.