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Finding the Fourth Proportional to 9,855.71, 13,600.77 and 5,379.42

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Solution

The fourth proportional to 9,855.71, 13,600.77 and 5,379.42 is: 7,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.71 : 13,600.77 = 5,379.42 : x
  2. Step 2: Convert to fraction form
    9,855.71/13,600.77 = 5,379.42/x
  3. Step 3: Cross multiply
    9,855.71x = 13,600.77 × 5,379.42
  4. Step 4: Simplify right side
    9,855.71x = 73,164,254.15
  5. Step 5: Solve for x
    x = 73,164,254.15/9,855.71
  6. Step 6: Final answer
    x = 7,423.54

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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.