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Finding the Fourth Proportional to 11,009.70, 16,500.63 and 6,387.30

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Solution

The fourth proportional to 11,009.70, 16,500.63 and 6,387.30 is: 9,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.70 : 16,500.63 = 6,387.30 : x
  2. Step 2: Convert to fraction form
    11,009.70/16,500.63 = 6,387.30/x
  3. Step 3: Cross multiply
    11,009.70x = 16,500.63 × 6,387.30
  4. Step 4: Simplify right side
    11,009.70x = 105,394,474.00
  5. Step 5: Solve for x
    x = 105,394,474.00/11,009.70
  6. Step 6: Final answer
    x = 9,572.87

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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.