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Finding the Fourth Proportional to 9,122.64, 13,698.48 and 6,901.68

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Solution

The fourth proportional to 9,122.64, 13,698.48 and 6,901.68 is: 10,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.64 : 13,698.48 = 6,901.68 : x
  2. Step 2: Convert to fraction form
    9,122.64/13,698.48 = 6,901.68/x
  3. Step 3: Cross multiply
    9,122.64x = 13,698.48 × 6,901.68
  4. Step 4: Simplify right side
    9,122.64x = 94,542,525.45
  5. Step 5: Solve for x
    x = 94,542,525.45/9,122.64
  6. Step 6: Final answer
    x = 10,363.51

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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.