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Finding the Fourth Proportional to 9,791.98, 14,685.81 and 3,216.40

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Solution

The fourth proportional to 9,791.98, 14,685.81 and 3,216.40 is: 4,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.98 : 14,685.81 = 3,216.40 : x
  2. Step 2: Convert to fraction form
    9,791.98/14,685.81 = 3,216.40/x
  3. Step 3: Cross multiply
    9,791.98x = 14,685.81 × 3,216.40
  4. Step 4: Simplify right side
    9,791.98x = 47,235,439.28
  5. Step 5: Solve for x
    x = 47,235,439.28/9,791.98
  6. Step 6: Final answer
    x = 4,823.89

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1.5x scale

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.