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Finding the Fourth Proportional to 11,235.48, 15,479.64 and 7,829.28

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Solution

The fourth proportional to 11,235.48, 15,479.64 and 7,829.28 is: 10,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.48 : 15,479.64 = 7,829.28 : x
  2. Step 2: Convert to fraction form
    11,235.48/15,479.64 = 7,829.28/x
  3. Step 3: Cross multiply
    11,235.48x = 15,479.64 × 7,829.28
  4. Step 4: Simplify right side
    11,235.48x = 121,194,435.86
  5. Step 5: Solve for x
    x = 121,194,435.86/11,235.48
  6. Step 6: Final answer
    x = 10,786.76

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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.