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Finding the Fourth Proportional to 9,989.52, 13,785.48 and 5,797.68

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Solution

The fourth proportional to 9,989.52, 13,785.48 and 5,797.68 is: 8,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.52 : 13,785.48 = 5,797.68 : x
  2. Step 2: Convert to fraction form
    9,989.52/13,785.48 = 5,797.68/x
  3. Step 3: Cross multiply
    9,989.52x = 13,785.48 × 5,797.68
  4. Step 4: Simplify right side
    9,989.52x = 79,923,801.69
  5. Step 5: Solve for x
    x = 79,923,801.69/9,989.52
  6. Step 6: Final answer
    x = 8,000.76

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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.