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Finding the Fourth Proportional to 9,783.78, 14,676.90 and 3,210.66

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Solution

The fourth proportional to 9,783.78, 14,676.90 and 3,210.66 is: 4,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.78 : 14,676.90 = 3,210.66 : x
  2. Step 2: Convert to fraction form
    9,783.78/14,676.90 = 3,210.66/x
  3. Step 3: Cross multiply
    9,783.78x = 14,676.90 × 3,210.66
  4. Step 4: Simplify right side
    9,783.78x = 47,122,535.75
  5. Step 5: Solve for x
    x = 47,122,535.75/9,783.78
  6. Step 6: Final answer
    x = 4,816.39

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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.