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Finding the Fourth Proportional to 11,214.40, 16,807.20 and 6,827.20

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Solution

The fourth proportional to 11,214.40, 16,807.20 and 6,827.20 is: 10,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.40 : 16,807.20 = 6,827.20 : x
  2. Step 2: Convert to fraction form
    11,214.40/16,807.20 = 6,827.20/x
  3. Step 3: Cross multiply
    11,214.40x = 16,807.20 × 6,827.20
  4. Step 4: Simplify right side
    11,214.40x = 114,746,115.84
  5. Step 5: Solve for x
    x = 114,746,115.84/11,214.40
  6. Step 6: Final answer
    x = 10,232.03

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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.