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Finding the Fourth Proportional to 9,890.10, 14,871.60 and 8,286.30

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Solution

The fourth proportional to 9,890.10, 14,871.60 and 8,286.30 is: 12,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.10 : 14,871.60 = 8,286.30 : x
  2. Step 2: Convert to fraction form
    9,890.10/14,871.60 = 8,286.30/x
  3. Step 3: Cross multiply
    9,890.10x = 14,871.60 × 8,286.30
  4. Step 4: Simplify right side
    9,890.10x = 123,230,539.08
  5. Step 5: Solve for x
    x = 123,230,539.08/9,890.10
  6. Step 6: Final answer
    x = 12,459.99

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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.