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Finding the Fourth Proportional to 9,855, 14,778.78 and 3,280.20

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Solution

The fourth proportional to 9,855, 14,778.78 and 3,280.20 is: 4,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855 : 14,778.78 = 3,280.20 : x
  2. Step 2: Convert to fraction form
    9,855/14,778.78 = 3,280.20/x
  3. Step 3: Cross multiply
    9,855x = 14,778.78 × 3,280.20
  4. Step 4: Simplify right side
    9,855x = 48,477,354.16
  5. Step 5: Solve for x
    x = 48,477,354.16/9,855
  6. Step 6: Final answer
    x = 4,919.06

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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.