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Finding the Fourth Proportional to 10,775.79, 16,164.80 and 2,984.60

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Solution

The fourth proportional to 10,775.79, 16,164.80 and 2,984.60 is: 4,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.79 : 16,164.80 = 2,984.60 : x
  2. Step 2: Convert to fraction form
    10,775.79/16,164.80 = 2,984.60/x
  3. Step 3: Cross multiply
    10,775.79x = 16,164.80 × 2,984.60
  4. Step 4: Simplify right side
    10,775.79x = 48,245,462.08
  5. Step 5: Solve for x
    x = 48,245,462.08/10,775.79
  6. Step 6: Final answer
    x = 4,477.21

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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.