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Finding the Fourth Proportional to 11,435.68, 15,780.48 and 6,399.68

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Solution

The fourth proportional to 11,435.68, 15,780.48 and 6,399.68 is: 8,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.68 : 15,780.48 = 6,399.68 : x
  2. Step 2: Convert to fraction form
    11,435.68/15,780.48 = 6,399.68/x
  3. Step 3: Cross multiply
    11,435.68x = 15,780.48 × 6,399.68
  4. Step 4: Simplify right side
    11,435.68x = 100,990,022.25
  5. Step 5: Solve for x
    x = 100,990,022.25/11,435.68
  6. Step 6: Final answer
    x = 8,831.13

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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.