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Finding the Fourth Proportional to 11,904.28, 16,420.08 and 7,648.64

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Solution

The fourth proportional to 11,904.28, 16,420.08 and 7,648.64 is: 10,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.28 : 16,420.08 = 7,648.64 : x
  2. Step 2: Convert to fraction form
    11,904.28/16,420.08 = 7,648.64/x
  3. Step 3: Cross multiply
    11,904.28x = 16,420.08 × 7,648.64
  4. Step 4: Simplify right side
    11,904.28x = 125,591,280.69
  5. Step 5: Solve for x
    x = 125,591,280.69/11,904.28
  6. Step 6: Final answer
    x = 10,550.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.