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Finding the Fourth Proportional to 11,000.40, 16,478.20 and 6,827.60

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Solution

The fourth proportional to 11,000.40, 16,478.20 and 6,827.60 is: 10,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.40 : 16,478.20 = 6,827.60 : x
  2. Step 2: Convert to fraction form
    11,000.40/16,478.20 = 6,827.60/x
  3. Step 3: Cross multiply
    11,000.40x = 16,478.20 × 6,827.60
  4. Step 4: Simplify right side
    11,000.40x = 112,506,558.32
  5. Step 5: Solve for x
    x = 112,506,558.32/11,000.40
  6. Step 6: Final answer
    x = 10,227.50

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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.