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Finding the Fourth Proportional to 9,989.88, 13,790.70 and 5,797.32

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Solution

The fourth proportional to 9,989.88, 13,790.70 and 5,797.32 is: 8,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.88 : 13,790.70 = 5,797.32 : x
  2. Step 2: Convert to fraction form
    9,989.88/13,790.70 = 5,797.32/x
  3. Step 3: Cross multiply
    9,989.88x = 13,790.70 × 5,797.32
  4. Step 4: Simplify right side
    9,989.88x = 79,949,100.92
  5. Step 5: Solve for x
    x = 79,949,100.92/9,989.88
  6. Step 6: Final answer
    x = 8,003.01

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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.