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Finding the Fourth Proportional to 9,133.77, 13,700.34 and 3,867.33

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Solution

The fourth proportional to 9,133.77, 13,700.34 and 3,867.33 is: 5,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.77 : 13,700.34 = 3,867.33 : x
  2. Step 2: Convert to fraction form
    9,133.77/13,700.34 = 3,867.33/x
  3. Step 3: Cross multiply
    9,133.77x = 13,700.34 × 3,867.33
  4. Step 4: Simplify right side
    9,133.77x = 52,983,735.89
  5. Step 5: Solve for x
    x = 52,983,735.89/9,133.77
  6. Step 6: Final answer
    x = 5,800.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.