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Finding the Fourth Proportional to 9,855.28, 13,599.78 and 5,379

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Solution

The fourth proportional to 9,855.28, 13,599.78 and 5,379 is: 7,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.28 : 13,599.78 = 5,379 : x
  2. Step 2: Convert to fraction form
    9,855.28/13,599.78 = 5,379/x
  3. Step 3: Cross multiply
    9,855.28x = 13,599.78 × 5,379
  4. Step 4: Simplify right side
    9,855.28x = 73,153,216.62
  5. Step 5: Solve for x
    x = 73,153,216.62/9,855.28
  6. Step 6: Final answer
    x = 7,422.74

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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.