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Finding the Fourth Proportional to 11,448.92, 15,784.39 and 8,259.55

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Solution

The fourth proportional to 11,448.92, 15,784.39 and 8,259.55 is: 11,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.92 : 15,784.39 = 8,259.55 : x
  2. Step 2: Convert to fraction form
    11,448.92/15,784.39 = 8,259.55/x
  3. Step 3: Cross multiply
    11,448.92x = 15,784.39 × 8,259.55
  4. Step 4: Simplify right side
    11,448.92x = 130,371,958.42
  5. Step 5: Solve for x
    x = 130,371,958.42/11,448.92
  6. Step 6: Final answer
    x = 11,387.27

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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.