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Finding the Fourth Proportional to 11,433.79, 15,785.44 and 7,188.44

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Solution

The fourth proportional to 11,433.79, 15,785.44 and 7,188.44 is: 9,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.79 : 15,785.44 = 7,188.44 : x
  2. Step 2: Convert to fraction form
    11,433.79/15,785.44 = 7,188.44/x
  3. Step 3: Cross multiply
    11,433.79x = 15,785.44 × 7,188.44
  4. Step 4: Simplify right side
    11,433.79x = 113,472,688.31
  5. Step 5: Solve for x
    x = 113,472,688.31/11,433.79
  6. Step 6: Final answer
    x = 9,924.33

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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.