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Finding the Fourth Proportional to 9,989.71, 13,785.22 and 5,513.46

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Solution

The fourth proportional to 9,989.71, 13,785.22 and 5,513.46 is: 7,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.71 : 13,785.22 = 5,513.46 : x
  2. Step 2: Convert to fraction form
    9,989.71/13,785.22 = 5,513.46/x
  3. Step 3: Cross multiply
    9,989.71x = 13,785.22 × 5,513.46
  4. Step 4: Simplify right side
    9,989.71x = 76,004,270.48
  5. Step 5: Solve for x
    x = 76,004,270.48/9,989.71
  6. Step 6: Final answer
    x = 7,608.26

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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.