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Finding the Fourth Proportional to 11,859.48, 16,365.90 and 7,667.64

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Solution

The fourth proportional to 11,859.48, 16,365.90 and 7,667.64 is: 10,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.48 : 16,365.90 = 7,667.64 : x
  2. Step 2: Convert to fraction form
    11,859.48/16,365.90 = 7,667.64/x
  3. Step 3: Cross multiply
    11,859.48x = 16,365.90 × 7,667.64
  4. Step 4: Simplify right side
    11,859.48x = 125,487,829.48
  5. Step 5: Solve for x
    x = 125,487,829.48/11,859.48
  6. Step 6: Final answer
    x = 10,581.23

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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.