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Finding the Fourth Proportional to 9,855, 14,782.44 and 2,835.18

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Solution

The fourth proportional to 9,855, 14,782.44 and 2,835.18 is: 4,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855 : 14,782.44 = 2,835.18 : x
  2. Step 2: Convert to fraction form
    9,855/14,782.44 = 2,835.18/x
  3. Step 3: Cross multiply
    9,855x = 14,782.44 × 2,835.18
  4. Step 4: Simplify right side
    9,855x = 41,910,878.24
  5. Step 5: Solve for x
    x = 41,910,878.24/9,855
  6. Step 6: Final answer
    x = 4,252.75

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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.