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Finding the Fourth Proportional to 9,783.78, 14,676.14 and 3,120.98

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Solution

The fourth proportional to 9,783.78, 14,676.14 and 3,120.98 is: 4,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.78 : 14,676.14 = 3,120.98 : x
  2. Step 2: Convert to fraction form
    9,783.78/14,676.14 = 3,120.98/x
  3. Step 3: Cross multiply
    9,783.78x = 14,676.14 × 3,120.98
  4. Step 4: Simplify right side
    9,783.78x = 45,803,850.43
  5. Step 5: Solve for x
    x = 45,803,850.43/9,783.78
  6. Step 6: Final answer
    x = 4,681.61

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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.