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Finding the Fourth Proportional to 9,989.22, 13,785 and 5,512.86

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Solution

The fourth proportional to 9,989.22, 13,785 and 5,512.86 is: 7,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.22 : 13,785 = 5,512.86 : x
  2. Step 2: Convert to fraction form
    9,989.22/13,785 = 5,512.86/x
  3. Step 3: Cross multiply
    9,989.22x = 13,785 × 5,512.86
  4. Step 4: Simplify right side
    9,989.22x = 75,994,775.10
  5. Step 5: Solve for x
    x = 75,994,775.10/9,989.22
  6. Step 6: Final answer
    x = 7,607.68

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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.