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Finding the Fourth Proportional to 8,783.70, 13,146.90 and 4,775.05

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Solution

The fourth proportional to 8,783.70, 13,146.90 and 4,775.05 is: 7,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.70 : 13,146.90 = 4,775.05 : x
  2. Step 2: Convert to fraction form
    8,783.70/13,146.90 = 4,775.05/x
  3. Step 3: Cross multiply
    8,783.70x = 13,146.90 × 4,775.05
  4. Step 4: Simplify right side
    8,783.70x = 62,777,104.85
  5. Step 5: Solve for x
    x = 62,777,104.85/8,783.70
  6. Step 6: Final answer
    x = 7,147.00

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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.