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Finding the Fourth Proportional to 9,687.85, 13,371.08 and 6,333.55

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Solution

The fourth proportional to 9,687.85, 13,371.08 and 6,333.55 is: 8,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.85 : 13,371.08 = 6,333.55 : x
  2. Step 2: Convert to fraction form
    9,687.85/13,371.08 = 6,333.55/x
  3. Step 3: Cross multiply
    9,687.85x = 13,371.08 × 6,333.55
  4. Step 4: Simplify right side
    9,687.85x = 84,686,338.64
  5. Step 5: Solve for x
    x = 84,686,338.64/9,687.85
  6. Step 6: Final answer
    x = 8,741.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.